The Madhes-based leaders were cordially received by Joint Secretary Abhay Thakur of Ministry of External Affairs.
The leaders are currently residing at Taaj Hotel where they will be holding parleys with various Indian leaders except the governmental meetings.
UDMF leaders were invited to India in a bid to seek a breakthrough of months-long political imbroglio in Nepal.
Sadbhawana Party Chairman Rajendra Mahato and Chairman of the Tarai Madhesh Sadbhawana Party Mahendra Raya Yadav have already reached the Indian capital on Saturday night, while the Chairman of Federal Socialist Forum Nepal Upendra Yadav and Chairman of Tarai Madhesh Democratic Party Mahatha Thakur arrived in Delhi on Sunday.
The UDMF leaders have already held talks with Chairman of Janata Dal (United) Sharad Yadav at noon.
Christmas special

Similarly, the leaders will meet Indian National Congress leader Karan Singh at 4 pm and discuss Madhes unrest and blockade. After the meeting, UDMF leaders will meet Nation Congress Party leader DP Tripathi at 5.30 pm.
Front leaders will then meet Indian Minister for External Affair Sushma Swaraj at 7.30 pm.
In the meeting with Swaraj, the leaders will brief on Madhes agitation, according to the source.