The 30-year-old actress - who split from her ex-fiancé and businessman Egor, 23, in July after a series of public rows - has been spotted in Greece with Dennis Papageorgiou, a restaurant and bar owner, who she claims "saved her" from her ex when he stepped in to break up a fight between them.
A source said: "Lindsay initially met Dennis at her 30th birthday party on Mykonos, but she only had eyes for Egor at that point.
"But Egor showed his true colours in a series of blazing rows, and Dennis did too with how he stepped in to help. Lindsay says they are very serious and she's been referring to him as the man who saved her from Egor."
And Dennis is said to have dumped his long-term model girlfriend Noelle Koutra to be with Lindsay.
The insider added to the The Sun newspaper: "It's a weird scenario to meet in but they're taking things seriously. Dennis ended it with Noelle to be with Lindsay, so it's not something they're taking lightly. Lindsay is hoping this is a start of a more healthy relationship."
Meanwhile, Lindsay has previously accused her former fiancé of being abusive towards her and claims she is scared of him.
She said previously: "I realise now you can't stay in a relationship just for love. No woman can be hit and stay with that person if that person isn't prepared to say sorry."