The selectors also left out left-arm spinner Elias Sunny, who is part of the Test squad but did not play a match.
Mortaza has not represented Bangladesh since April 2011, while Tamim is recovering from an injury.
Abdur Rehman took four wickets while Saeed Ajmal and Aizaz Cheema chimed in with two each.
Mohammad Hafeez and Taufeeq Umar smashed unbeaten half-centuries when stumps were drawn on day one.
Bangladesh batsman Nazimuddin also joins rebel league.
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