The afflicted are a 49-year-old from Ulhasnagar town in Thane who had travelled to Dubai, and a 22-year old from Mumbai who had visited the UK.
They were under isolation since past few days and their test reports came positive on Thursday, officials said.
They are currently undergoing treatment at isolation wards in Mumbai as the state government and city civic administration grapples with the mega-challenge of keeping crowds away to keep the virus at bay.
On Tuesday, COVID-19 claimed it’s first victim in the state after a 63-year-old man with a history of travel to Dubai, passed away in Mumbai’s Kasturba Hospital.
His wife and son who also tested positive are currently under treatment in the same hospital.