According to a report in CBC News, on meeting the prime minister baby Trudeau's mother said, "It was actually very good, it was unbelievable".
The boy's parents, Afraa Hajj Hammoud and Mohammed Bilal, arrived in Canada in February of 2016 and named their newborn in May.
The family chose to name their newborn after the prime minister as a thank you gesture to their adopted country.
Canada has reportedly welcomed more than 40,000 Syrian refugees since Trudeau became prime minister in late 2015.
Woman's body found in buck's party hotel room
Police were trying to establish whether the woman had been known to the men, and if she had consumed drugs and alcohol. Two men who attended a buck's party that left a woman dead have claimed they were " stitched up ".
Shortly after Trudeau took office, the Canadian government agreed to accept tens of thousands of Syrian refugees - a move that saw him praised by the worldwide community.
'I was a little bit shocked... when he says that, I smile a little bit, a small smile, then I say, "yes, there is no problem, it will be like a small thank you for Justin Trudeau"'.
Mr Trudeau has always been known for his welcoming immigration policies.
After US President Donald Trump in January first announced his travel ban barring immigration from seven Muslim-majority countries, Mr Trudeau struck a decidedly different tone on his Twitter.
Muhammad and Afraa Bilal arrived in Canada in February past year with their two young children after escaping war-torn Syria.
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