The government has asked the United Nations and other countries for help.
The third ship is INS Shardul which left Kochi today at 7 AM in the morning. Mr Modi also informed that another relief ship for further assistance will reach Colombo tomorrow.
Rescue and search operations are still ongoing in several areas and fresh flood alerts have been issued as rains continue in certain areas.
According to the Center for elimination of disaster consequences, about 2.9 thousand people were forced to leave their homes due to natural disasters caused by heavy rains.
"There are some areas where we are unable to reach, but relief operations are under way".
An Indian naval ship arrived in Colombo, the nation's capital, with relief supplies.More news: USA military conducts ground raid in Yemen on AQAP compound
More news: Gianforte wins Montana special election, apologizes to bodyslammed reporter
More news: Google helps advertisers track spending in physical stores
The death toll from severe flooding and landslides in Sri Lanka has increased up to 113 by the end of the day, Saturday, Co- Cabinet spokesman Minister Dr. Rajitha Senaratne addressing media this evening (27th May) said. Indian High Commissioner Taranjit Singh Sandhu handed over the relief items brought by INS Kirch to Foreign Minister Ravi Karunanayake.
"The ship is carrying additional relief material requested by Sri Lankan authorities, apart from more inflatable boats", it said.
The charity s Sri Lanka country director Chris McIvo said: "We re particularly anxious we could start seeing a further increase in the number of dengue cases because of the stagnant water that the floods will leave in their wake".
Pakistan said it was in talks with Sri Lankan authorities to identify its needs.
The flooding is the worst since May 2004 when 250 people died and 10,000 homes were destroyed by a tsunami, Reuters reports.
This is the worst floods in Sri Lanka since 2003 and has already claimed 100 lives.