The Hollywood hunk has reportedly had an on/off fling with the stunning swimwear model since first meeting her in 2004, and now he is single after splitting with Stacy Keibler, she stayed over at his mansion on September 25.
The pair are said to have reconnected in May - shortly before George split with Stacy in July - at Loulou's nightclub in London, where Monika, 33, is based.
A source told Us Weekly magazine: "They spent hours talking, and have an incredible connection.
"They danced and held hands. He's been calling and texting her ever since."
Moika's biography on her website says she was spotted by a talent scout at the Clothes Show Live and moved to London, where she subsequently entered the Storm Look Modelling Competition in 1994, which helped launch her career.
Meanwhile, long-legged former WWE wrestler Stacy has also moved on from George, 52, and was spotted drinking wine in Paris with Jared Pobre on Monday.
A source said: "Stacy and Jared are dating. They met through friends, but they are not anything more than dating."
Silver-haired George's other famous ex-girlfriends include Lisa Snowdon, Kelly Preston and Elisabettta Canalis.