Manchester City's Champions League flop is set to hurt their transfer plans.
Mancini is hoping to strengthen his squad in next month’s transfer window and both De Rossi and Sneijder are on his wish list.
Sneijder, 28, has fallen out with Inter Milan bosses after refusing to accept a wage cut and has not played for the Italian giants since September.
Mancini also remains a huge fan of fellow Italian De Rossi, 29, and has twice tried to sign him in the last 18 months.
The midfield enforcer is disillusioned at Roma, who have slumped to sixth in Serie A.