As Romanians were arriving in North America in the early part of the 1900's they gathered at different places close to the eastern ports before learning more about travelling west.  Once such place where they gathered to get their feet under themselves was Montreal, Quebec, Canada.  There were enough Romanian immigrants in the city at the time that there was an area of town known for this colourful group.  Perhaps if your Ancestors listed Montreal as a final destination on their ship manifest this is where they ended up?  Mine did!

The Romanian Area within Montreal

I was pleased to learn in Romanians in Canada ("Montreal Area Romanian Canadians", Page 31) that there was a district eventually defined as bounded by Saint Laurent Boulevard, Iberville Street, Sherbrook Street and Mount Royal Avenue. 

Unfortunately for my research, Quebec did not perform the extra census collections that the new prairie provinces did in 1906, 1916 and 1926.  In Quebec you can find the national censuses from 1901, 1911 and 1921 which might still provide you with fruitful searches depending on when your ancestors were on the move.