"CPI(M) has compromised the Left unity across the country by forging an alliance with Congress. They are talking of broadening the Left unity. But broadening of Left unity and alliance with Congress can't go hand in hand," CPI(ML) Liberation General Secretary Dipankar Bhattacharya said.
He asked the CPI(M) to mull over the idea about rethinking their electoral tactics.
Further slamming the CPI(M) West Bengal's unit of CPI(M)'s move, Bhattacharya wondered, "How can Congress be an credible ally in a fight against corruption, when the party itself was thrown out of power because of corruption in 2014.
Dasgupta said it would be "difficult" for the Left to play a major role in the near future.
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CPI(M) Politburo member and MP Mohammed Salim said the party is presently aiming at creating a nationwide "people's struggle" against the Modi government and its politics.
"The question of bringing together other parties and forces comes during elections. The next parliamentary elections is in 2019. We are now concentrating on creating a nationwide people's struggle and uniting the forces based on ideology and programme," Salim said.
Although a section of CPI(M) leadership accepted that Mamata Banerjee is trying to replicate the role that Left had once played, it doubted the outcome.
"She might have defeated Left Front in Bengal but national politics is a different ball game all together," Mollah said.
Demonetisation gave Banerjee the much awaited opportunity to try her luck in playing a major role in national politics, given the disarray among various political parties such Congress, SP, BSP, BJD and AAP, which are either busy with the upcoming Uttar Pradesh elections or are not strong enough to put up a fight against BJP.
The Trinamool Congress leadership felt that under the leadership of Banerjee, the party will play a decisive role in the formation of the next government after 2019.
"You can mark my words, TMC will play a decisive role in national politics after 2019. Banerjee has been accepted across the spectrum as the face of anti-BJP platform," TMC vice president Mukul Roy said.