It is believed that United have already arranged their second scouting mission to watch the displays of the defender in the space of less than a month.
They watched him in the 2-1 win over Chelsea late last month and were also present at the weekend when his side drew 0-0 with Braga in the domestic league.
Van Gaal is said to be looking to reinforce his defensive options during the January window given the long-term injury to left-back Luke Shaw and 
Apart from playing on the side of defence, Martins-Indi is also able to be deployed down the middle, playing as a left-back on two occasions and a centre-back another four times so far this term.