The American Sniper star reportedly split from British model Suki Waterhouse in March (15) after two years together, and last week (ends24Apr15), he sparked rumours he had already moved on after he was seen attending a production of new Broadway musical Finding Neverland with Shayk.

The alleged new couple headed to Washington, D.C. over the weekend (25-26Apr15), when Cooper and Shayk tried to keep a low-profile as they attended the Vanity Fair/Bloomberg White House Correspondents' Party at the French ambassador's residence.

According to the New York Post's Page Six column, the pair stayed close all night, but "kept any obvious flirting to a minimum".

Model Shayk parted ways with her boyfriend of five years, Portuguese soccer stud Cristiano Ronaldo, in January (15).