The Indian men's team had refused to accept the Asia Cup trophy from Mohsin Naqvi last year.
Labuschagne was named in the 16-player squad despite an extended form slump.
Bumrah's participation in the Afghanistan T20I series is subject to fitness clearance.
The three T20Is are scheduled to take place between September 13 and September 17 in Delhi.
India bowled out Pakistan for 55 runs and won the game by 7 wickets.
Neither Sreesanth or Samson made any public comments to address the matter.