Schemmel is at Upton Park on loan from French side Metz, and they are said to be keen on taking Song back to his former club as next season's captain.
Schemmel has impressed everyone at West Ham during his loan spell and a deal could be brokered during the summer.
Song has failed to impress following his move from Liverpool and has made some notable mistakes that have led to The Hammers dropping vital points.
Song, however, has shown great commitment to Harry Redknapp by choosing to play for his club instead of his country, incurring a national fine as a result.
The Cameroon skipper is supposed to be in the national side that faces Angola in a World Cup qualifier, but will accept a fine from his country to play against Southampton in The Premiership.
Redknapp's side are still not mathematically safe from the drop and need a good result against The Saints to be sure of their top-flight status.
"I told my national team that I want to play for West Ham," said Song.
"It is a big decision I'm taking, because I need to stay with my team on Saturday in a game we really want to win.
"I'm making a big sacrifice - I don't know how much the fine will be yet but if I stay in The Premiership it is worth it.
"When you are the captain you want to set an example and every manager wants someone like me in the team.
"The national manager said he understands my problem and doesn't want me to be in the First Division. We need a point on Saturday and everyone will want to die on the pitch."
