The Red Dragons beat Austia 2-1 with two superb Gareth Bale goals at the Cardiff City Stadium on Thursday night, and await the winner of the second, delayed semi-final.
Wales will now host the Czech Republic – who lost their World Cup play-off semi-final 1-0 to an extra time goal – again at Cardiff in a friendly on Tuesday night, kick-off 7-45 p.m.
Hennessey, if he features, will earn his 100th cap for his country – he is already Wales’ most capped goalkeeper.
Before then, fellow keeper Nick Pope is with England for their two friendlies at Wembley, against Switzerland on Saturday, March 26th (kick-off 5-30 p.m.), before the Three Lions face Clarets top-scorer Maxwel Cornet and the Ivory Coast on Tuesday, March 29th (kick-off 7-45 p.m.).
Ivory Coast also have a friendlies against France in Marseille on Friday, March 25th (kick-off 8-15 p.m.).
Striker Wout Weghorst is with the Netherlands, who play two friendly matches.
Louis Van Gaal’s side host Denmark in Amsterdam on Saturday, March 26th (kick-off 7-45 p.m.), and then take on Germany on Tuesday, March 29th (kick-off 7-45 p.m.), again at the Amsterdam ArenA.
And the Republic of Ireland, with Nathan Collins in the squad, have two friendlies, both at the Aviva Stadium in Dublin.
The Irish host Belgium on Saturday, March 26th (kick-off 5 p.m.), before entertaining Lithuania on Tuesday, March 29th (kick-off 7-45 p.m).