A succession of substitutions followed, including the introduction of former Hammer Alex Král, who is now with Union Berlin, before Coufal was among four players shown yellow cards in added time.
Czechia’s win means they are now three points clear at the top of Group L, three ahead of Montenegro and six ahead of Croatia, who kicked-off their own qualifying campaign with a 7-0 away victory over Gibraltar. The Faroe Islands, the fifth nation in the group, were idle on Friday evening.
A fourth straight win to start qualifying over Croatia away in Osijek on Monday 9 June would put Nároďák firmly on course for next summer’s tournament in Canada, Mexico and the United States.
Souček now has 80 caps, while Coufal has 54.
Elsewhere, Andy Irving is still waiting for his first Scotland cap after remaining on the bench for his country’s 3-1 home friendly defeat by Iceland at Hampden Park in Glasgow.
The midfielder will hope to make his debut for Steve Clarke’s side in another friendly in Liechtenstein on Monday evening.
Finally, on-loan forward Evan Ferguson, who will return to parent club Brighton & Hove Albion on 30 June, was a used substitute as Republic of Ireland drew 1-1 with Senegal in a friendly at the Aviva Stadium in Dublin.