The South Central Railway as well as the East Coast Railway cancelled several trains while some were terminated midway, officials said, adding a few express trains were also diverted.
The MeT department warned of heavy to very heavy rainfall in Gangetic West Bengal till Saturday, ahead of Durga Puja festivities.
Cyclone 'Titli' did dampen the spirits of hockey fans to some extent but not veterans like Dilip Tirkey and Dhanraj Pillay who were excited about the exhibition match played, in Bhubaneswar, on Wednesday.
The India Meteorological Department said rainfall would be accompanied by gale wind speed reaching 140 to 150 kmph and gusting to 165 kmph along and off Odisha and north Andhra Pradesh coasts.
Several families in Ganjam, Jagatsinghpur and Nayagarh have named their newborn daughters as Titli because they were born either before the very severe cyclone's arrival in the coast or after it made landfall.
At least 34 people were killed during Cyclone Fani, which barrelled through coastal Odisha on Friday last, causing widespread destruction and leaving hundreds grappling with water shortage and power cut.
An unspecified number of people were evacuated from coastal areas of Odisha where Jagatsinghpur, Kendrapara, Bhadrak and Balasore were likely to experience heavy rainfall accompanied by high-velocity winds, particularly on May 19 and 20, IMD Director General Mrutyunjay Mohapatra said.