CPI General Secretary Suravaram Sudhakar Reddy said today that a senior party functionary of the JD(S) has spoken to him on a possible tie-up for the polls.
The term of the 224-member Karnataka Assembly ends in May.
"I had a talk with Sitaram Yechury (CPI(M) General Secretary); we together want to negotiate with them (JD-S), if there is a possibility, we will discuss with them," Mr Reddy told PTI.
He said he has also suggested to Mr Yechury to talk to his Karnataka unit on the issue.
Mr Reddy noted that former prime minister Deve Gowda had already said that his party is ready for an understanding with the Left for the polls to the Assembly.
The BSP and the JD(S) yesterday announced that they are entering into an alliance to contest the Karnataka Assembly polls together, and said it would continue in the 2019 Lok Sabha elections as well.
As per the understanding, the BSP will be contesting from eight reserved and 12 general Assembly constituencies spread across 14 districts of the state.