The party has prepared four sets of nomination papers, leaving the space for the name of the candidate blank.
Shah had on Sunday met its sulking ally and Shiv Sena President Uddhav Thackeray and his son Aditya Thackerey in Mumbai to ensure the Sena's crucial support.
Shah, Prime Minister Narendra Modi's closest adviser and top campaign strategist, played up the humble origins of Kovind, 71, who has served two terms in the upper house of parliament and is a practising lawyer. Talking to reporters in New Delhi, Mr Naidu said, BJP will announce its presidential nominee before 23rd of this month. The last date for filing of nominations is June 28.
The BJP leaders also had meetings with AIADMK leader M Thambidurai and CPI leader S Sudhakar Reddy, Samajwadi party patriarch Mulayam Singh Yadav and BSP leader Satish Chandra Mishra.
Mr Naidu briefed BJP President Amit Shah on discussions with various parties so far.
Kovind's nomination to the largely ceremonial post of president would be expected to garner enough votes from the BJP and its allies in an electoral college that brings together federal and state lawmakers.
It is not clear whether it will come out with an announcement on Monday itself. He is the member of a group formed by Mr Shah to hold consultation with political parties on presidential elections.
"There is no question of consensus on the issue as BJP has not mentioned any name, instead they tried asking us the same".
French defence minister quits over fake jobs claims
Observers say her decision puts more pressure to resign on justice minister Francois Bayrou , the founder and leader of Modem. The ministers' departure gives Macron a chance to reshape his government without including names who could prove awkward.
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Ms Handel came a distant second to Mr Ossoff in the April election, but the Republican vote had been split among 11 candidates. Williams said he was optimistic about the path ahead for Republicans. "I think that those concerns have only grown over time.
Ask the Weather Guys: When is the summer solstice?
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