The 32-year-old star was dressed up warmly in a thick winter coat and a hat as she arrived with Hamilton at the posh restaurant Nobu.
The pair posed for photos when they were spotted by photographers and were all smiles for the cameras.
Scherzinger, star of US band the Pussycat Dolls, has been in the UK to promote her new single Poison and she has already performed the track on The X Factor, Daybreak and This Morning.
She wowed viewers with her latex catsuit and devil hairdo during her performance on The X Factor.