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BCCI and Indian government never allowed Pakistani players to be participated in IPL because they all know about this and sentiment in India against Pakistan is very high right now under Modi regime even now if these lost election then still there is no way for this due to hate which recently too much spread by religious peoples across the subcontinent and other thing is in India they believe if Pakistan is going to have any profit or good result just because of India never do this, so we all watch what happen in first edition of IPL when many Pakistani players were on high and steal this show from this day they feel its never been good, so they ban Pakistani Players from participating into this event, and now it's never going to happen positive in next few decades.
The reasons are twisted here, Pakistan players participated in the IPL during the initial tournament and when the Mumbai terror attack happened these sanctions came into place, if the Pakistan government was willing to weed out the terrorist i am sure there wont be any sanctions but they never took the responsibility of the attack when it was evident that the attack was carried out from Pakistan.
To say that the players are not included because they performed well is not the truth, Mumbai attack the aftermath is the reason for not allowing Pakistan players in the IPL and the cricket ties between India and Pakistan became standstill after that.