Police believe attacks on two men who were robbed at their homes in Wembley may have been related.

The attacks occurred on December 1, at homes on Lake Monger Drive.

At about 6pm, a 70-year-old man was disturbed after two dark-skinned men entered his house and started searching through rooms.

The man managed to phone police before he was confronted by the men, who struck him on the head before running from the house.

About five minutes later, a 52-year-old man returned to his home on Lake Monger Drive and as he exited his BMW sedan he was confronted by a dark-skinned man.

The man punched and kicked the victim before taking his car keys and stealing his silver BMW. The car was last seen travelling at speed in an easterly direction.

The BMW was found by police at a nature reserve on Gravity Street in Beckenham at about 7pm.

One offender was described as 187cm tall with a solid build and short dark cropped hair. He was wearing dark-coloured clothing.

Police would like to speak to anyone who was near Lake Monger and who may have seen the men or the stolen BMW between 5pm and 6.30pm on Friday 1 December.

Anyone with information should call Crime Stoppers on 1800 333 000 or online at www.crimestopperswa.com.au.