UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 8-K

CURRENT REPORT

Pursuant to Section 13 or 15(d) of the
Securities Exchange Act of 1934

Date of report (Date of earliest event reported): September 5, 2025

Spring Valley Acquisition Corp. III

(Exact name of registrant as specified in its charter)

(214) 308-5230

(Registrant’s telephone number, including area code)

Not Applicable

(Former name or former address, if changed since last report)

Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions:

Securities registered pursuant to Section 12(b) of the Act:

Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (§230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (§240.12b-2 of this chapter).

Emerging growth company x

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. ¨

Item 8.01. Other Events.

As previously reported, on September 5, 2025, Spring Valley Acquisition Corp. III, a Cayman Islands exempted company (the “Company”), consummated its initial public offering (the “Offering”) of 23,000,000 units (the “Units”), including 3,000,000 Units issued pursuant to the underwriters’ exercise of its over-allotment option in full. Each Unit consists of one Class A ordinary share, par value $0.0001 per share (“Class A Ordinary Shares”), and one-third of one redeemable public warrant (each, a “Warrant”), each whole Warrant entitling the holder thereof to purchase one Class A Ordinary Share at an exercise price of $11.50 per share, subject to adjustment, pursuant to the Company’s registration statement on Form S-1 (File No. 333-289294). The Units were sold at an offering price of $10.00 per Unit, generating gross proceeds to the Company of $230,000,000.

As previously reported, on September 5, 2025, simultaneously with the consummation of the Offering, the Company consummated the private placement of 4,490,555 warrants to Spring Valley Acquisition III Sponsor, LLC and an aggregate of 2,555,556 warrants to Cohen and Company Capital Markets, a division of Cohen & Company Securities, LLC and Clear Street LLC, the representatives of the underwriters (collectively, the “Private Placement Warrants”) at a price of $0.90 per Private Placement Warrant, generating gross proceeds to the Company of $6,341,500 (the “Private Placement”).

A total of $230,000,000 ($10.00 per Unit) of the net proceeds from the Offering and the Private Placement, which amount includes $9,200,000 in deferred underwriting commissions, was placed in a trust account established for the benefit of the Company’s public shareholders, with Continental Stock Transfer & Trust Company acting as trustee.

An audited balance sheet as of September 5, 2025 reflecting receipt of the proceeds from the Offering and the Private Placement has been issued by the Company and is filed as Exhibit 99.1 to this Current Report on Form 8-K.

Item 9.01. Financial Statements and Exhibits.

(d)            Exhibits.

SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.

Date: September 11, 2025