The pair - who have been together since July 2008 - got into a heated argument after a party at their £5 million North London home, and neighbours - alarmed by the commotion - alerted the police.
Officers arrived on the scene shortly after 2.30am on Monday morning to question the couple, but made no arrests.
There are reports 62-year-old Ronnie has now ended their relationship after the row, which was apparently sparked by the guitarist's plans to have dinner with his former wife Jo, daughter Leah and new granddaughter Maggie Dean.
A source close to the Woods said the dinner had been arranged in an attempt to reconcile differences in the family since the break up of Ronnie and Jo's marriage, reports the Daily Mail.
Twenty-one-year-old Ekaterina apparently wanted to go to, but Ronnie was against the idea.
After first trying to get Ekaterina to leave the property, Ronnie is reported to have packed a suitcase and left. He is apparently now staying in a flat near his former matrimonial home in Kingston, South-West London.