A woman snatched a stranger’s $10,000 wristwatch after she met the man, who was heavily intoxicated, outside his Staten Island apartment last month and lead him to his door, police and sources said.

The random encounter between the duo took place at about 4:30 a.m. near Pinewood Avenue and WIlder Avenue in Richmond on Oct. 24, according to cops.

Footage of the incident shows the thief helping the man down the stairs to his home before he ends up seated near the bottom step.

The woman did not enter the man’s apartment — but at some point during their interaction she swiped his pricey Rolex Submariner before fleeing the scene, police and sources said.

The woman was still being sought Tuesday.