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Gilmour, who won the Man of the Match award against England, tested positive for COVID on Monday morning, meaning both Chilwell and Mount must complete 10 days of isolation - a ruling that has completely baffled former goalkeeper Cech.
The 39-year-old, who made 124 appearances for Czech Republic during a 14-year international career, hit out at the decision on social media, just hours after the confirmation emerged.
He wrote: "Please could someone help me understand how is it possible Mason Mount and Ben Chilwell - both with negative tests - have to isolate after they got in contact with Billy Gilmour while the entire Scottish team who shared the dressing room, hotel, coach and plane while travelling, dining room, meeting room are allowed to play the game without any problem because they returned the required negative tests?
"What is the difference between them returning the same test results? It is incomprehensible."
As well as embracing at full-time, the trio had a 25-minute chat in the tunnel following the 0-0 draw, according to The Mirror - a decision that appears to have been the potential coronavirus rule breach.
In fact, both players could miss England's round of 16 clash depending on when the fixture falls.
If Gareth Southgate's side beat Czech Republic on Tuesday evening then they will then play their first knockout game on June 29.
If they finish second, that would mean England play their round of 16 tie on June 28, when both Mount and Chilwell are still isolating.
Baring in mind that both players will not have trained with the squad in the build-up to these games, it is unlikely that Chilwell and Mount will play a part in the last-16 tie.
Thoughts on the decision? Do you agree with Petr Cech?
Let us know in the comments.