UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C. 20549

SCHEDULE 14A

Proxy Statement Pursuant to Section 14(a) of the

Securities Exchange Act of 1934

(Amendment No.    )

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☐	Definitive Proxy Statement
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☒	Soliciting Material Pursuant to §240.14a-12

Nuveen Global High Income Fund (JGH)

(Exact Name of Registrant as Specified in its Charter)

(Name of Person(s) Filing Proxy Statement, if other than the Registrant)

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Nuveen Global High Income Fund

Important Information Regarding 2021 Shareholder Meeting

The annual meeting of shareholders (the “Annual Meeting”) of Nuveen Global High Income Fund (NYSE:JGH) (the “Fund”) has been scheduled for April 6, 2021.

The Board has nominated Jack B. Evans, Albin F. Moschner and Matthew Thornton III to stand for election at the Annual Meeting to serve as Class III Trustees for a term expiring at the annual meeting of shareholders to be held in 2024 or until their successors have been duly elected and qualified.

On December 18, 2020, the Fund received a notice from Saba Capital Master Fund, Ltd. of its intention to nominate persons for election as trustees at the Annual Meeting. The Board intends to meet to consider this notice and make a recommendation in due course that it believes will best serve the interests of the Fund and all of its shareholders.

This communication is not a solicitation of a proxy from any Fund shareholder. The Board will present its recommendation regarding trustee nominees in the Fund’s proxy statement and other materials, to be filed with the Securities and Exchange Commission (the “SEC”) and made available to all shareholders eligible to vote at the Annual Meeting. Promptly after filing its definitive proxy statement in connection with the solicitation of proxies for the Annual Meeting (the “2021 Proxy Statement”) with the SEC, the Fund will mail the 2021 Proxy Statement and a WHITE proxy card to each shareholder entitled to vote at the Annual Meeting.

Fund shareholders do not need to take any action at this time.

Important Information

The Fund, its trustees and executive officers and certain officers and employees of Nuveen may be deemed to be participants in the solicitation of proxies from shareholders in connection with the Annual Meeting.

Information concerning the trustees and executive officers of the Fund is set forth in the Fund’s definitive proxy statement for its 2020 Annual Meeting of Shareholders filed on March 2, 2020 and in the Fund’s annual report for the fiscal year ended December 31, 2019. Each trustee’s individual beneficial shareholdings of the Fund constitutes less than 1% of the outstanding shares of the Fund and the trustees and executive officers of the Fund as a group beneficially own less than 1% of the outstanding shares of the Fund. Additional information regarding the interests of such potential participants will be included in the 2021 Proxy Statement and other relevant documents to be filed with the SEC in connection with the Annual Meeting.

Promptly after filing its definitive 2021 Proxy Statement with the SEC, the Fund will mail the definitive 2021 Proxy Statement and a WHITE proxy card to each shareholder entitled to vote at the Annual Meeting. SHAREHOLDERS ARE URGED TO READ THE 2021 PROXY STATEMENT (INCLUDING ANY AMENDMENTS OR SUPPLEMENTS THERETO) AND

ANY OTHER RELEVANT DOCUMENTS THAT THE FUND WILL FILE WITH THE SEC CAREFULLY IN THEIR ENTIRETY WHEN THEY BECOME AVAILABLE BECAUSE THEY WILL CONTAIN IMPORTANT INFORMATION. Shareholders may obtain, free of charge, copies of the 2021 Proxy Statement and any amendments or supplements thereto and any other documents (including the WHITE proxy card) filed by the Fund with the SEC in connection with the Annual Meeting at the SEC’s website (http://www.sec.gov) or at http://www.nuveenproxy.com/Closed-End-Fund-Proxy-Information, or by contacting the Fund by phone at 1-800-257-8787 or by mail at 333 West Wacker Drive, Chicago, Illinois 60606.

FORWARD LOOKING STATEMENTS

Certain statements made herein are forward-looking statements. Actual future results or occurrences may differ significantly from those anticipated in any forward-looking statements due to numerous factors. These include, but are not limited to:

● market developments;

● legal and regulatory developments; and

● other additional risks and uncertainties.

Nuveen and the closed-end funds managed by Nuveen and its affiliates undertake no responsibility to update publicly or revise any forward-looking statement.

For more information, please visit Nuveen’s CEF homepage www.nuveen.com/closed-end-funds or contact:

Advisors 800-752-8700 Investors 800-257-8787 Media media-inquiries@nuveen.com

About Nuveen

Nuveen, the investment management arm of TIAA, offers a comprehensive range of outcome-focused investment solutions designed to secure the long-term financial goals of institutional and individual investors. Nuveen has more than $1.1 trillion in assets under management as of September 30, 2020 and operations in 27 countries. Its affiliates offer deep expertise across a comprehensive range of traditional and alternative investments through a wide array of vehicles and customized strategies. For more information, please visit www.nuveen.com.

Nuveen Securities, LLC, member FINRA and SIPC.

The information contained on the Nuveen website is not a part of this communication.