A mother and daughter were taken to the Royal Infirmary after a fire in their flat in Silverknowes Crescent.
The 38-year-old and her daughter, seven, were treated for smoke inhalation.
A 65-year-old man was taken to the Royal Infirmary with smoke inhalation and burns to one hand after a fire in a second floor flat on Halmyre Street in Leith.
And a 59-year-old man received oxygen after a fire at his flat in Bellevue Crescent but did not require hospital treatment.
Firefighters attended all three of the scenes.