The pair are both out of favour at their respective clubs after a string of poor performances and reported clashes with the manager.
According to French publication L'Equipe, St Germain had a cash over for Babel turned down as well as a loan approach for Anderson rebuffed.
Staying put: Anderson (left) and Babel must fight for their place at their clubs
Liverpool's Babel recently used social networing website Twitter to vent his frustration at being dropped by manager Rafa Benitez 'without explanation'. He has started just five games for the club all season and reportedly turned down the chance to join Birmingham City.
Anderson, meanwhile, is still trying to repair the damage his reputation suffered following a below par showing in last year's Champions League final.
United boss Sir Alex Ferguson fined the player £80,000 last month for skipping training and dropped him from the side.
The deal was scuppered by PSG's reluctance to pay the Brazilian's wages.
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