Inter moved four points clear at the Serie A summit, with Christian Eriksen and Ivan Perisic playing leading roles.
Nicolo Barella and Ivan Perisic were on target as Inter eased to a 2-0 win over Fiorentina to replace rivals Milan at the top of Serie A.
Edin Dzeko and Alexis Sanchez will not be swapping clubs on deadline day, while Inter do not expect any players to leave.
Real Madrid beat Inter at the Estadio Alfredo Di Stefano to pick up their first win in this season's Champions League.
Inter narrowly avoided back-to-back home defeats in Serie A as they rallied from two goals down to draw with Parma.
Ivan Perisic is linked with a move from Inter, but coach Antonio Conte praised the attacker's attitude.
Real Madrid attacker Gareth Bale is heading back to Tottenham, with Sergio Reguilon also said to be on his way.
With Kylian Mbappe reportedly looking to leave PSG, Real Madrid are poised to pounce.
Croatia star Ivan Perisic completed his loan stint at Bayern Munich with Champions League glory in Lisbon.
Marco Verratti and Ivan Perisic were named among the substitutes for the Champions League final, but Keylor Navas was back in the PSG side.