R Ashwin, who had flown home on Friday due to a family medical emergency, rejoined his team in Rajkot on Sunday.
R Ashwin became the second-fastest to 500 wickets in the 3rd Test vs England.
Board of Control for Cricket in India (BCCI) secretary Jay Shah backed Virat Kohli's decision to miss India's ongoing Test series against England.
Mukesh has been replaced by Mohammed Siraj in India's XI for the crucial Test match that began on Thursday.