Pictures of Sienna Miller and Jude Law Together and Possibly House Hunting in London

Jude Law put a protective hand on Sienna Miller's back yesterday as they headed into a house in London. The duo is home from their travels to Thailand, NYC, and LA, where they happily shopped together and chilled out in the sun. Sienna and Jude have been going strong since reuniting last Fall, and now the pair is apparently looking to buy a place. Three years ago, Sienna moved out of the last home they shared, and Sienna was rumored to be selling her townhouse in the wake of her split from Balthazar Getty, so the timing works out if she and Jude are serious about giving cohabitation another try.