Bharatiya Janata Party leaders Rajiv Pratap Rudy, Ravi Shankar Prasad and Shahnawaz Hussain went to Ram Vilas Paswan's residence where they were received by his son Chirag Paswan, who is strongly batting for the tie-up.
Significantly, the meeting took place on a day Bharatiya Janata Party's Prime Ministerial candidate Narendra Modi is here and there was speculation that Ram Vilas Paswan would meet him.
Narendra Modi held a separate meeting with Bharatiya Janata Party chief Rajnath Singh.
The meeting came a day after LJP gave clear hints about allying with BJP after their Parliamentary Board meeting.
To a question whether LJP will tie-up with Bharatiya Janata Party, Chirag Paswan had said that "all options are now open for the LJP".
"LJP Parliamentary Board has passed a resolution that all steps, even if they are strong ones, should be taken in the interest of the party and if an alternative alliance is to be firmed up, party chief Ram Vilas Paswan should take the decision", said Chirag Paswan, who heads the Parliamentary Board.
BJP leaders had also said yesterday that the talks on alliance were at an advanced stage.
Sources said the two parties are engaged in negotiations over the sharing of seats in Bihar.
Prasad later said the meeting was "good" and they had shared "sweets".
He praised Ram Vilas Paswan, saying he is a "senior" leader not only of Bihar but the entire country.
"We have worked together during Atal Bihari Vajpayee government," the Bharatiya Janata Party leader recalled.
Ram Vilas Paswan's brother Ram Chandra Paswan said the "distance between Bharatiya Janata Party and LJP has come to an end on poll alliance" in Bihar.