Los Angeles, Aug 20 - Hollywood actor Bruce Willis and his model wife Emma Heming have been looking at expensive properties in Los Angeles to find a love nest.

The actor is set to buy a multi-million dollar apartment and the couple have been seen at Los Angeles' exclusive Carlyle Residences, a 24-storey building featuring properties priced between $2.9 to $15 million, reports imdb.com.

The pair is believed to have been looking at a three bedroom, four bathroom property equipped with a gym, library, dining room and wine cellar, which costs around $5.1 million.