A delegation of the party's city unit met Maharashtra Chief Minister Devendra Fadnavis and submitted a letter in which it sought justice for the 46-year-old retired Navy officer, convicted of "espionage and sabotage activities".
Jadhav, who hails from Maharashtra, was "arrested" on March 3 last year by Pakistan security officials allegedly in Balochistan which, they said, he entered from Iran.
He was sentenced to death by a military court in a secret trial and Pakistan's army chief yesterday approved his execution.
The delegation was led by Mumbai BJP President Ashish Shelar.
He later said Fadnavis informed the delegation that he has spoken to Swaraj about the issue.