Cyclone Batsirai hit Madagascar and has killed at least 10 people, slamming into the eastern coastline with heavy rain and wind speeds of 165 kph (100 mph).
The cyclones, which have never been seen before, are fixed and consistent.
Authorities said more than a million people had been moved out of the storm's path, while television broadcast images of rough seas, strong winds and rains lashing the state of Odisha.
Vamco, the 21st cyclone to hit the Philippines this year, has killed at least 42 people. It tore through the main island of Luzon late on Wednesday.
The last time two cyclones were in the US Gulf of Mexico was in 2002, when Tropical Storm Fay and Tropical Depression Edouard overlapped for about 18 hours, according to the NHC.
Thousands had been evacuated from the Fiji islands that are in the cyclone's path.
Having hit land, tropical cyclone Fani had lost some of its power and was downgraded to a 'Deep Depression' by the Indian Meteorological Department.
Aid agencies said they were still struggling to reach victims and work out the extent of the devastation in the northern province of Cabo Delgado.
The floods have left thousands of people scrambling for shelter, food and water.