The French defender, who spent eight seasons at Old Trafford, was sacked by Marseille earlier this season following an altercation with a supporter.
He played 379 games for the Red Devils between 2006 and 2014 and won nine major trophies, including five Premier League titles and the Champions League in 2008.
After three months as free agent, he could seal a return to the Premier League. West Ham manager David Moyes knows Evra well, the pair having been together at Manchester United during the 2013/14 season.
Since he was dismissed by Marseille and banned by UEFA, Evra has posted regular social media updates of himself training to keep up his fitness, as well as spending time in the Middle East.
According to 'Sky Sports', Everton are also interested in the French left-back who is believed to favour a move to London.