The 28-year-old forward previously played for Persepolis from 2015 to 2020 and then left the Reds to join Portuguese side Marítimo.
Now, Persepolis, headed by new head coach Osmar Loss Vieira, wants to bring back Alipour to bolster its attacking options.
Persepolis has previously completed the signing of Issa Alekasir and Qatari left-back Abdelkarim Hassan.