Tilak, who made a solid debut in West Indies and scored 173 runs in five innings with one fifty, has had two unsuccessful outings, scoring a golden duck and one in two innings.
Bumrah makes his return to competitive cricket as he will lead India during the T20I series against Ireland, starting in August, announced Board of Control for Cricket in India (BCCI) on Monday.
Hardik Pandya, who has been captaining the T20I side in absence of senior players like Virat Kohli and Rohit Sharma does not find a place in the squad.