Ms Bedi usually cycles around the town and meets the residents. She suddenly dropped by at Chief Minister Narayansamy's house in the morning to greet him.
Mr Narayanasamy declined to give a reaction to Ms Bedi's gesture at a press-conference held later at the committee hall in the assembly. He just smiled after a reported asked the question.
Ms Bedi also met Speaker V Vaithilingam at his house, situated a few blocks away from Mr Narayanasamy's house.
Last year, Mr Bedi had hosted a dinner at Raj Nivas for all legislators and officials. The entire council of ministers along with the Chief Minister boycotted it in protest of her "sustained non-cooperative stand" and "blocking" vital decisions of the government.
Ms Bedi has been at loggerheads with the government over a host of issues including medical admissions, civic problems and induction of three nominated lawmakers, ever since she assumed office in 2016.