Tharoor visited Sarojini Nagar Police Station informing the SIT that he was leaving for Thiruananthapuram later in the day.
Police sources said that the SIT has asked Tharoor to keep them informed about his movements and contact details so that the team can get in touch with him whenever they need him during investigation. However, police has not put any restrictions on his movement as of now.
The former Union Minister reached the police station around 1 PM and spent about half-an-hour. Although he was not formally questioned during the visit, but police did ask him some supplementary questions regards what he had told them yesterday during two rounds of questioning that lasted nearly seven hours.
Yesterday's questioning of Tharoor was mainly focused on the IPL controversy which had broken out in early 2010 when he was minister of state for external affairs.
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There were allegations that he had "misused" his office to ensure that Rs 70 crore, which was equivalent to 19 per cent equity in IPL Kochi franchise Rendezvous Sports, was paid to Sunanda, a charge denied by him.
The questioning of Tharoor by a five-member SIT team took place at the Anti Auto Theft Squad (AATS) office in Vasant Vihar in South Delhi.
Delhi Police had earlier examined the former Union minister on January 19.
Another round of questioning of Tharoor may take place over the weekend, police sources said yesterday.
Tharoor's interrogation came on a day when Sunanda's viscera sample was sent to a FBI laboratory in the US for further probe.
52-year-old Sunanda was found dead in her suite at a five star hotel in south Delhi on the night of January 17, 2014, a day after she was involved in a spat with Pakistani journalist Mehr Tarar on microblogging website Twitter over the latter's alleged affair with Tharoor.
Police had last month filed a murder case and formed an SIT to probe the case.