In a statement, the BJP said the two senior leaders will speak to both the ruling NDA and opposition UPA members, in addition to other political parties as well as independent members.
Currently, JD (U), RLSP, Apna Dal, AIADMK, JJP, NPP, NPF, AGP are among the partners of NDA led by BJP.
Opposition parties that accused the BJP in the last presidential poll in 2017 of contacting them at the last moment, after it had sealed the final choice of Ram Nath Kovind, who went on to become the President.
The opposition was forced to organize a competition by backing Meira Kumar, who lost to Kovind.
Neither the government nor the opposition have named any candidates for the Presidential poll to be held on July 18.
Meanwhile, opposition parties have also begun discussing the polls with Aam Aadmi Party (AAP) leader Sanjay Singh meeting NCP leader Sharad Pawar on Sunday.
It should be noted that prior to the 2019 Lok Sabha polls, it was Pawar who urged the AAP and the knowledgeable Congress in Delhi to fight the BJP. However, this did not materialize.
On Saturday, the Minister of West Bengal and the Director of TMC Mamata Banerjee wrote to 22 ministers and opposition leaders and invited them to a meeting on 15 June to hold discussions on presidential election.
(With input from agencies)