The Arsenal stopper looks to have lost his place as the Gunners’ No 1 after a below-par 2018 in between the sticks.
Cech now also has to compete with new arrival Bernd Leno, who signed for £19m before the World Cup.
Meanwhile, at Chelsea, Thibaut Courtois looks to be on his way out of the club as he nears his desired move to Real Madrid.
And according to Sky Sports reporter Kaveh Solhekol, Cech could now be in line for a shock return to Stamford Bridge this summer.
“Chelsea considering re-signing Petr Cech if/when they sell Thibaut Courtois to Real Madrid,” he tweeted.
The Blues are also eyeing up a swoop for Leicester City stopper Kasper Schmeichel.
The Dane enjoyed a solid World Cup this summer, which will have added to his transfer value.
“Chelsea also interested in Leicester City goalkeeper Kasper Schmeichel. Liverpool have made big move for other Chelsea target Alisson,” Solhekol added.
Courtois recently cast doubt over his Chelsea future, saying he would take some time to consider his options after Belgium’s successful World Cup.
“Wherever I go, Hazard must come along,” he said after the 2-0 win over England on Saturday.
“We will not let each other go. We’ll see.
“Now first vacation. And agree with my entourage in between.”