The Canadian prime minister along with his family - wife Sophie Gregoire Trudeau and three children - Ella, Xavier and Hadrien - are on a week-long visit to India.
Known for his plainspeak, Singh had earlier refused to meet six ministers in Trudeau's cabinet, saying they had links with the separatists, sparking off a big diplomatic row.
Amarinder Singh in April past year during Canadian Defence Minister Harjit Singh Sajjan's visit to India called the Canadian MP a 'Khalistani sympathizer'.
This was the first time any Punjab chief minister met Canada's prime minister.
The spokesperson added that the two leaders agreed on the importance of strengthening ties between their countries, with the Chief Minister expressing Punjab's keenness to engage with Canada in several vital domains related to economic cooperation.
Following much speculations, Canadian Prime Minister Justin Trudeau who is now on a week-long India tour met Punjab's Chief Minister Amarinder Singh, who has openly expressed his criticism towards Canada's overly sympathetic approach towards the Sikh separatist movement.
"I took up with Trudeau the concerns about militancy [in Canada] we had raised".
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Canadian Prime Minister upped the ante when he wore a bright shiny golden sherwani with a quintessential red dupatta for a meeting with the Bollywood stars. The Canadian PM performed sewa and prepared rotis inside the Langar Hall, before moving on to perform a parikrama. Trudeau's appearances at some Sikh events where extremist supporters also showed up caused unhappiness in India.
"The optics don't look good", said Vivek Dehejia, a senior fellow at Mumbai-based think tank IDFC Institute, told CNN of Modi's decision not to greet Trudeau and his family at the airport.
Trudeau reiterated Monday during a stop in Mumbai that his government supports only a united India, a comment Singh said he was happy to hear.
The professor at the university's graduate school of public and worldwide affairs says Modi's political leanings more closely resemble those of U.S. President Donald Trump - and even former prime minister Stephen Harper - than they do Trudeau's feel-good approach.
Trudeau will meet with Indian Prime Minister Narendra Modi and has plans to address a Delhi business forum later this week.
On Sunday, when the Trudeaus visited Taj Mahal in Agra, Hardien was seen in a video running towards the Canadian PM, following which Justin took him in his arms and played with him.