The two leaders then met Rajnath Singh to convey Advani's views.
Last night, Modi met RSS chief Mohan Bhagwat, apparently to seek his intervention in resolving the issue.
Advani has represented Gandhinagar in the 10th Lok Sabha (1991-96), 12th Lok Sabha (1998-99), 13th Lok Sabha (1999-2004), 14th Lok Sabha (2004-09) and the current 15th Lok Sabha (2009-14).
BJP leader Sushma Swaraj also met Advani at his residence.
This is Swaraj's second meeting with Advani. In a bid to placate him over the party's decision, Swaraj had met the senior BJP last night.
