DMK has not only denied ticket to Alagiri, but also two of his loyalists for the April 24 Lok Sabha election.
The former union minister is believed to have discussed the prevailing political situation in Tamil Nadu, where Congress has not found an alliance partner for the Lok Sabha polls.
During the meeting, Alagiri requested Singh to name the Madurai airport after freedom fighter Pasumpon Muthuramalinga Thevar.
Sources said Alagiri informed PMO officials that he and two of the DMK MPs—D Napolean and J K Riteish will vacate the official bungalows allotted to them.
Rajya Sabha MP K P Ramalingam, who is a staunch supporter of Alagiri, was also present at the meeting.