Clare selector Louis Mulqueen praised the resolve the Banner showed during Saturday's draw.
The All Ireland champions recovered from an early 10 point deficit to bring the game to extra time, where it finished 2-25 a piece.
Mulqueen also said that not having the services of All Ireland Final hero Shane O'Donnell is frustrating
The winners of Saturday's replay will take on Waterford in the second round of the Qualifiers.
This mornings draw also pitted Tipperary against Offaly.
Both those games will be played at neutral venues, with the details to be confirmed later by the GAA's Central Competition Controls Committee.
The draw was also made for the 3 A football qualifiers.
Sligo host Limerick while Laois entertain Tipperary.