The Dutchman was announced as the permanent successor to David Moyes yesterday having out pen to paper on a three year contract.
It seems he's already started work at Old Trafford despite not officially taking over until after he has completed his duties with the Dutch national side at the World Cup, and is looking at ways to keep Evra at the club.
The French full-back is out of contract in the summer and looked set to follow the likes of Rio Ferdinand and Nemanja Vidic out of Manchester United having failed to agree a new deal.
However according to Goal, Van Gaal is keen on retaining his services and wants him to put pen to paper on a one-year extension. If Evra takes him up on that offer it means he would have spent 10 seasons with Manchester United.
Goal add that Van Gaal has approved the acquisition of Luke Shaw from Southampton, but wants Evra to stay with the Red Devils in order to share the burden with the 18-year-old next season.
Whether he opts to stay put remains to be seen however - the 33-year-old is said to be attracting interest from the likes of Juventus and Inter Milan.