Sources said it was an one-on-one meeting and what transpired in the 20-minute discussion was not known immediately.
Swamy had recently said that after outgoing RBI Governor Raghuram Rajan, Delhi Chief Minister Arvind Kejriwal was his next target.
"I was after (Raghuram) Rajan and now he is gone. In this, too, I will tell the government to remove him (Kejriwal). He has been made by the Congress," claimed Swamy.
"Although the Constitutional provisions of the so-called state of Delhi are well defined, nevertheless, the Chief Minister is acting in reckless regard of all the Constitutional provisions.
"There appears to be a complete break-down of any semblance of governance in the NCT of Delhi. The AAP is functioning in a highly arbitrary, unreasonable and mala fide manner," he wrote to the President, seeking his intervention.