An elderly woman mourning the recent death of her husband has been terrorised in her Melbourne home by thieves who stormed into her bedroom during a "heinous" home invasion.

Two men ransacked rooms and threatened to kill the widow if she didn't hand over cash and jewellery when they burst into her Bulleen home about 5am on December 30.

"[It was] quite a heinous sort of crime," Senior Constable Simon Jacobs said on Friday.

Two men police wish to speak to over the Bulleen home invasion. Pictured here wearing wigs. Credit:Victoria Police

Senior Constable Jacobs said the 81-year-old victim had "recently lost her husband and is

struggling to come to terms with that loss" and is "very shaken up" after the men stormed into her bedroom while she was sleeping.