UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE TO

TENDER OFFER STATEMENT UNDER SECTION 14(d)(1) OR 13(e)(1)

OF THE SECURITIES EXCHANGE ACT OF 1934

(AMENDMENT NO. 2)

MAP PHARMACEUTICALS, INC.

(Name of Subject Company — Issuer)

GROUNDHOG ACQUISITION, INC.

ALLERGAN, INC.

(Names of Filing Persons — Offerors)

Common Stock, par value $0.01 per share

(Title of Class of Securities)

56509R108

(CUSIP Number of Class of Securities)

Matthew J. Maletta, Esq.

Vice President,

Associate General Counsel and Secretary

Allergan, Inc.

2525 Dupont Drive

Irvine, California, 92612

(714) 246-4500

(Name, address and telephone number of person authorized to receive notices and communications on behalf of filing persons)

Copy to:

Terrence R. Allen, Esq.

Gibson, Dunn & Crutcher LLP

3161 Michelson Drive

Irvine, California, 92612

(949) 451-3800

CALCULATION OF FILING FEE

Check the appropriate boxes to designate any transactions to which this statement relates:

Check the following box if the filing is a final amendment reporting the results of the tender offer. x

If applicable, check the appropriate box(es) below to designate the appropriate rule provision(s) relied upon:

This Amendment No. 2 (“Amendment”) amends and supplements the Tender Offer Statement on Schedule TO filed with the Securities and Exchange Commission (the “SEC”) on January 31, 2013 (which, together with any subsequent amendments and supplements thereto, collectively constitute this “Schedule TO”). The Schedule TO relates to the offer by Groundhog Acquisition, Inc. (“Purchaser”), a Delaware corporation and a wholly-owned subsidiary of Allergan, Inc. (“Allergan”), to purchase all outstanding shares of common stock, par value $0.01 per share (individually, a “Share” and collectively, the “Shares”), of MAP Pharmaceuticals, Inc. (“MAP”), for $25.00 per Share, net to the seller in cash, without interest and less any applicable withholding taxes, upon the terms and subject to the conditions set forth in the Offer to Purchase, dated January 31, 2013 (together with any amendments and supplements thereto, the “ Offer to Purchase”), and the related Letter of Transmittal (together with any amendments and supplements thereto, the “Letter of Transmittal” and, together with the Offer to Purchase, the “Offer”), copies of which were filed as Exhibits (a)(1)(A) and (a)(1)(B), respectively, to the Schedule TO. Capitalized terms used and not otherwise defined in this Amendment shall have the meanings assigned to such terms in the Offer to Purchase.

All of the information set forth in the Offer to Purchase is hereby amended and supplemented as set forth below.

Items 1-11.

The Schedule TO and the Offer to Purchase are hereby amended and supplemented as set forth below:

“The Offer expired at 12:00 midnight, New York City time, on the night of February 28, 2013. The Depositary for the Offer has advised Allergan and Purchaser that, as of such time, an aggregate of 27,783,059 Shares had been validly tendered and not properly withdrawn pursuant to the Offer, representing approximately 77.9% of the Shares then outstanding, and approximately 68.4% of the Shares then outstanding on a fully diluted basis. In addition, Notices of Guaranteed Delivery have been delivered with respect to 2,717,161 Shares, representing approximately 7.6% of the Shares then outstanding. The aggregate number of Shares validly tendered and not properly withdrawn pursuant to the Offer satisfies the Minimum Condition that at least a majority of the outstanding Shares (on a fully diluted basis) be validly tendered and not properly withdrawn prior to the expiration of the Offer. Accordingly, all conditions to the Offer have been satisfied, and Purchaser has accepted for payment all Shares that were validly tendered and not properly withdrawn pursuant to the Offer. Payment for such Shares will be made promptly in accordance with the terms of the Offer.

On March 1, 2013, Purchaser exercised the Top-Up Option to purchase from MAP a number of newly issued Shares equal to the lowest number of Shares that, when added to the number of Shares owned by Allergan and Purchaser at the time of such exercise, constituted one Share more than 90% of the Shares then outstanding (after giving effect to the issuance of the Top-Up Option Shares).

Following the exercise of the Top-Up Option, Purchaser effected the Merger pursuant to the “short-form” merger procedures set forth in Section 253 of the DGCL. As a result, on March 1, 2013, Purchaser merged with and into MAP, with MAP surviving the Merger as a wholly-owned subsidiary of Allergan. At the Effective Time, all remaining issued and outstanding Shares not tendered in the Offer (other than Shares owned by Allergan, Purchaser, MAP or any of its wholly-owned subsidiaries, and any Shares owned by MAP stockholders who validly exercise their appraisal rights in connection with the Merger) were converted into the right to receive the same cash price of $25.00 per Share paid in the Offer, without interest and less any applicable withholding taxes. Following the Merger, Allergan will cause the Shares to be delisted from the NASDAQ Global Select Market.

The press release issued by Allergan on March 1, 2013 in connection with the expiration of the Offer and the consummation of the Merger is filed as Exhibit (a)(5)(E) hereto and is incorporated herein by reference.”

Item 12. Exhibits.

Item 12 of the Schedule TO is hereby amended and supplemented by adding the following exhibit:

SIGNATURES

After due inquiry and to the best knowledge and belief of the undersigned, each of the undersigned certify that the information set forth in this statement is true, complete and correct.

Date: March 1, 2013

EXHIBIT INDEX

Exhibit (a)(5)(E)

ALLERGAN, INC. ANNOUNCES EXPIRATION OF TENDER OFFER FOR ALL

OUTSTANDING SHARES OF MAP PHARMACEUTICALS, INC. AND INTENT TO

EXERCISE TOP-UP OPTION TO EFFECT A SHORT-FORM MERGER

March 1, 2013 (Irvine, CA) — Allergan, Inc. (NYSE: AGN) (“Allergan”) today announced the expiration of the tender offer (the “Offer”) initiated by its wholly-owned subsidiary, Groundhog Acquisition, Inc. (“Purchaser”), on January 31, 2013 to purchase all of the outstanding shares of common stock of MAP Pharmaceuticals, Inc. (NASDAQ: MAPP) (“MAP”) for $25.00 per share, net to the seller in cash, without interest and less any applicable withholding taxes, as set forth in the Tender Offer Statement on Schedule TO filed by Purchaser and Allergan with the U.S. Securities and Exchange Commission on January 31, 2013. The Offer and withdrawal rights expired at 12:00 midnight, New York City time, on the night of February 28, 2013.

According to the final report of the depository for the Offer, as of the expiration of the Offer, a total of 30,500,220 shares of MAP common stock (including approximately 2,717,161 shares subject to guarantees of delivery) were validly tendered and not properly withdrawn prior to the expiration of the Offer, which represent approximately 85.5% of all outstanding shares of MAP common stock and approximately 75.1% of all outstanding shares of MAP common stock on a fully diluted basis. The aggregate number of shares of MAP common stock validly tendered and not properly withdrawn pursuant to the Offer satisfies the condition to the Offer that at least a majority of the outstanding shares of MAP common stock (on a fully diluted basis) be validly tendered and not properly withdrawn prior to the expiration of the Offer. Accordingly, Purchaser has accepted for payment and will promptly pay for all such tendered shares in accordance with the terms of the Offer.

Pursuant to the Agreement and Plan of Merger, dated as of January 22, 2013, by and among Allergan, Purchaser and MAP (the “Merger Agreement”), following consummation of the Offer, Allergan and Purchaser intend to promptly effect a “short-form” merger of Purchaser with and into MAP under Delaware law (the “Merger”), with MAP continuing as the surviving corporation and a wholly-owned subsidiary of Allergan. In order to obtain a sufficient number of shares of MAP common stock to accomplish the Merger pursuant to the “short-form” merger procedures under Delaware law, Purchaser intends to exercise the “top-up” option granted to it by MAP under the Merger Agreement (the “Top-Up Option”). The Top-Up Option entitles Purchaser to purchase from MAP newly issued shares of MAP common stock in an amount equal to the lowest number of shares that, when added to the number of shares owned by Allergan and Purchaser at the time of the exercise of the Top-Up Option, will constitute one share more than 90% of the number of shares of MAP common stock then outstanding (after giving effect to the issuance of such shares).

At the effective time of the Merger, any shares of MAP common stock not purchased in the Offer, other than shares held by Allergan, Purchaser, MAP or any of its wholly-owned subsidiaries, and any shares held by any MAP stockholders who validly exercise their appraisal rights in connection with the Merger, will be converted into the right to receive the same cash price per share paid in the Offer ($25.00 per share), without interest and less any applicable withholding taxes. Following the Merger, Allergan intends to cause MAP’s common stock to be delisted from the NASDAQ Global Select Market.

About Allergan, Inc.

Allergan is a multi-specialty health care company established more than 60 years ago with a commitment to uncover the best of science and develop and deliver innovative and meaningful treatments to help people reach their life’s potential. Today, we have approximately 10,800 highly dedicated and talented employees, global marketing and sales capabilities with a presence in more than 100 countries, a rich and ever-evolving portfolio of pharmaceuticals, biologics, medical devices and over-the-counter consumer products, and state-of-the-art resources in R&D, manufacturing and safety surveillance that help millions of patients see more clearly, move more freely and express themselves more fully. From our beginnings as an eye care company to our focus today on several medical specialties, including eye care, neurosciences, medical aesthetics, medical dermatology, breast aesthetics, obesity intervention and urologics, Allergan is proud to celebrate more than 60 years of medical advances and proud to support the patients and physicians who rely on our products and the employees and communities in which we live and work. For more information regarding Allergan, go to: www.allergan.com.

Contact Information:

Forward-Looking Statements

This press release contains “forward-looking statements,” relating to the acquisition of MAP by Allergan. All statements other than historical facts included in this press release, including, but not limited to, statements regarding the timing and closing of the merger transaction, exercise of the Top-Up Option and the delisting of the MAP common stock from the NASDAQ Global Select Market, and any assumptions underlying the foregoing, are forward-looking statements. These statements are based on current expectations of future events. If underlying assumptions prove inaccurate or unknown, or unknown risks or uncertainties materialize, actual events or results could vary materially from Allergan’s expectations and projections. Risks and uncertainties include, among other things, the ability to effect the transactions on a timely basis or at all, as well as other cautionary statements contained elsewhere herein and in the companies’ periodic reports filed with the SEC including current reports on Form 8-K, quarterly reports on Form 10-Q and annual reports on Form 10-K. Given these uncertainties, you should not place undue reliance on these forward-looking statements, which apply only as of the date of this press release. Allergan expressly disclaims any intent or obligation to update these forward-looking statements except as required by law. Additional information about Allergan is available at www.allergan.com or you can contact the Allergan Investor Relations Department by calling (714) 246-4636. Additional information about MAP is available at www.mappharma.com.

2