Baisoya, who had a disappointing 73 in the first round, shot 64 today to reach the second place at three-under 137, while Joshi (67) was leading the field at eight-under 132.
Udayan Mane (69) moved into third place, which he shares with Simarjeet Singh (68-70) at two-under 138. Syed Saqib Ahmed dropped to fifth place with a second round card of 72 and he is at 139.
Three players, Arjun Singh (69), BR Arjun (70) and Jasjeet Singh (70) are at even par 140.
S Chikkarangappa, Manav Das, Trishul Chinappa and Shubhankar Sharma were all tied at 16th at four-over 144.