Everton won against Southampton in the Premier League on Monday afternoon.
Everton's Ramiro Funes Mori has generally been used as a back-up option since Ronald Koeman took charge.
The Everton player played to full 90 minutes as his country went down 3-0 to Brazil in World Cup 2018 qualification.
The defender has struggled to break into the first team this season.
The Everton defender has been tipped for the role by a national legend.
It takes a brave man to criticise Messi. It takes an even braver one to want a hugely erratic defender be given the chance to lead the nation instead.
The England international again had a poor game in the Premier League.
The Argentine international has been linked with a move away from Everton.
Everton drew 1-1 with Manchester City on Saturday, with Phil Jagielka giving away two penalties.
The Argentine then went on to give away a penalty.