Ever since going public with their rekindled romance in May, British "It" couple Jude Law and Sienna Miller have been hounded by paparazzi. But now, it looks like they've paid a hefty sum to achieve more privacy whenever they want to see one another.

The U.K.'s Daily Mail reports this week that Law and Miller (who were once engaged, until Miller ended the relationship in 2005 after Law's dalliance with his children's nanny) have jointly purchased a luxurious $12 million property in north London, and have been quietly living together in the seven-bedroom home since November.

Many wonder if the two will soon announce their re-engagement. Meanwhile, Miller recently dismissed rumors that the couple had secretly tied the knot while on holiday in April. The fashion-forward actress, 28, first met Law, 37, on the set of their 2004 comedy remake 'Alfie,' and they first became engaged later that year. He was previously married to actress Sadie Frost, with whom he has three children (Law also fathered a baby after a short fling in early 2009 with model Samantha Burke).