Mahendra, who lost the election for the post of President to Maharashtra strongman Sharad Pawar in the Annual General meeting in Kolkata last Tuesday, said it was not required for Dalmiya to resign from these bodies as he was not representing India.
"His (Dalmiya's resignation) is a loss for India which cannot be compensated", Mahendra told PTI here.
He said the BCCI president was India's representative in the Asian body, so Dalmiya was under no obligation to step down from the posts.
Earlier in the day, Dalmiya resigned as President of the Asian Cricket Council and the Afro-Asian Cricket Cooperation with immediate effect.
In a letter to BCCI President Sharad Pawar, Dalmiya said "in view of the recent changes in the Board of Control for Cricket in India, I feel that it is only appropriate that I tender my resignation with immediate effect from both the positions.