The attacks took place in Hooghly, Howrah, Bankura, Birbhum, North and South 24 Parganas, Nadia, Cooch Behar and Darjeeling districts, CPI(M) sources said.
A former party MLA Akkel Ali and two local leaders Sheikh Sahabuddin and Durjay Mukherjee were injured and hospitalised in an alleged attack by Trinamool men at a party office in Bagnan in Howrah district.
CPI (M) offices were vandalised Udaynarayanpur, Salkia and Domjur in Howrah district.
Another ex-minister and veteran leader Abdur Rezzak Mollah's car was attacked with bombs at Baruipur in South 24 Parganas district, they said.
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In Nadia district, CPI(M) offices in Chakdaha, Kalyani, Shantipur, Mohonpur, Gayespur, Madanpur, Kataganj, Haringhata and Hanskhali were ransacked.
District CPI(M) Secretary Sumit Dey alleged five party workers were injured in the attacks, a charge denied by TC district leaders.
CPI(M) workers were driven out of party offices and furniture damaged at Haripal, Tarakeswar, Pursura, and Chunchura in Hooghly district, the sources said.
CPI(M) Bankura district leader Amiyo Patro alleged around 30 armed TMC workers raided the Marxist party office at Taldangra with the police remaining a mute spectator.
In Birbhum district, CPI(M) leader Debashis Ganguly alleged TC men from a procession came and vandalised the party's zonal office in Suri.