The 28-year-old racing star and X Factor judge have broken up and got back together on a number of occasions since they first paired up in late 2007.
Scherzinger posted a photo from her holiday in Aspen, Colorado, on Instagram yesterday (Jan 2), standing on a snowmobile with the sun behind her.
An hour later, Hamilton posted a picture on his Twitter page with the same background.
The couple reportedly split up in July last year due to their busy work schedules.
Scherzinger recently appeared to suggest that she was not interested in rekindling her relationship with the 2008 world champion.
"Through the heartache it's been liberating," she said.
"People lose themselves to relationships. You're living for the other person, putting so much in that you have to take a step back. Do things for yourself."