Speaking to the media after the meeting, Mamata Banerjee said: "We had a very positive, constructive, creative and concrete discussion."
Hillary, who is in India as part of her tour of South Asian countries, arrived in Kolkata from Bangladesh capital Dhaka on Sunday.
She also met Prime Minister Manmohan Singh and Congress Chairperson Sonia Gandhi in New Delhi.
"Satyamev Jayate" Goes on Air
Aamir Khan's most ambitious TV talk show "Satyamev Jayate" was aired on Sunday. The show got an overwhelming response from the people that the official site crashed due to huge traffic.
Reacting to the first episode, which was simultaneously aired on Star Plus and Doordarshan at 11 am, actress Preity Zinta tweeted: "Watching Aamir Khan on Satyamev Jayate discussing Female Foeticide! I love this effort from him & thank him as a Woman!"
Abhigyan Jha, the producer of the online show "Jay Hind", said the show reminded him of the days when he "sat writing Rajani with the belief that it would change the country."
He said on Twitter that he wasn't a fan of Aamir, but thought it is a show "well done". "If I were him, I would have tried to do a similar show. Somethings have to be done," added Abhigyan.
Chief Ministers' Meeting on NCTC
In a bid to find a consensus regarding the controversial National Counter Terrorism Centre (NCTC), Prime Minister Manmohan Singh on Saturday chaired a meeting of state Chief Ministers in New Delhi.
However, the meeting concluded without any consensus among the CMs. West Bengal Chief Minister Mamata Banerjee, whose Trinamool Party is a key ally in the ruling UPA, strongly opposed the NCTC terming it as a "unilateral step of the centre."
Opposing the proposed elite anti terrorism body, Assam Chief Minister and Congress leader Tarun Gogoi said he would accept the anti-terror body with conditions.
Release of "Jannat 2"
Director Kunal Deshmukh's latest film "Jannat 2" was released on Friday. The film collected Rs. 90 million on its opening day. However, the film got mixed reviews from critics.
Giving 2 out of 5 points, Zee News declared: "since there aren't many options this weekend, you can count that as a reason to go watch the movie!"
"Despite the grave theme, the treatment is more or less perky and devoid of melodrama, which thankfully never makes the proceedings depressing," wrote The Times of India's Gaurav Malani.
The daily declared the film as "Good."
Assam Boat Tragedy: Search Operations Still On
Around 200 people died after an overcrowded double-decker boat carrying more than 300 passengers capsized in the Brahmaputra river in Dhubri district, on 1 May.
The ill-fated boat left Dhubri ghat to Medertari, near Fakirganj, at around 2:30 p.m. and caught in a cyclonic storm. At around 5.30 pm the boat drifted away and broke into pieces after hitting a boulder at Bura-Buri. The accident site is about 200 kilometers from Guwahati.
The search operation is still on to find the missing victims.
Click on slideshow to take a look at some of the important and interesting events that happened last week.