Shukla, 33, who has represented India in three ODIs between March-September 1999, has not played for the national team since but has been a regular with the Bengal Ranji team.
Mumbai and Bangladesh A are also taking part in the one-day tournament to be held at the Jadavpur University's Salt Lake campus ground.
The squad:
Laxmi Ratan Shukla (c), Arindam Das, Sreevats Goswami, Rohan Banerjee, Dibyendu Chakraborty, Subhajit Banerjee, Manoj Tiwary, Veer Pratap Singh, Mohammad Ashrafuddin, Iresh Saxena, Sudeep Chatterjee, Saurasish Lahiri, Avijit Singh, Kanishk Seth, Ashok Dinda, Avilin Ghosh, Aamir Gani.