Finch scored a quick-fire 67 off just 45 balls with the help of 10 fours and two sixes, and together with Robin Uthappa, added 96 runs for the opening stand to give a rollicking start to Pune's innings.
After Finch, it was the turn of another Australian in Smith to hog the limelight, as he finished off Pune's innings in style with an unbeaten 39 off just 16 balls.
"The fact that we gave away 13 runs in the first over set the trend. Finch played a couple of good shots, especially on the back foot. Some how we did pretty well to hang in there but in the last few overs Steven Smith took Pune to a very good score.
"Smith is an annoying player. He has hit us a number of times. We try and plan for him but he is like AB de Villiers. He is very unorthodox," he said.
"No not at all," was Fleming's reaction when asked whether they took Pune lightly.
"I can understand the concerns but I can assure you that it is not the case. The game against Royal Challengers Bangalore took a lot out of us the other night emotionally and physically so we were flat all the way through.