BJP was earlier hopeful that Trinamool Congress, which was an ally of NDA during Atal Bihari Vajpayee's Prime Ministership, could support it this time as well.
Banerjee, who had left NDA and later became a part of UPA, walked out of the Congress-led alliance in September 2012.
The second biggest partner in UPA II after Congress, Trinamool had fought elections in West Bengal separately after parting ways with it.
The latest sparring between BJP and Trinamool Congress comes at a time when Congress has renewed the talk of secular formation in the post-poll scenario to halt BJP's bid to come to power at the Centre.