One of the best batsman of the modern era, Ponting was part of the victorious Mumbai Indians side last season and had led the team in the first few outings before handing over the reins to current captain Rohit Sharma.
Ponting will be with the team for the last two matches of the UAE leg.
"I am looking forward to working with Mumbai Indians once again," said Ponting after interacting with the team upon arrival in Dubai.
"I had a fantastic season last summer and understand how passionate our players are towards the franchise. I believe we have the fire in us and we will strive hard to put our best."