Addressing a Congress convention at Minicoy island of the Lakshadweep, she said Congress alone could offer stable rule and ensure development of all parts of the country.
Striking an emotional note with the islanders, Gandhi said the "doors of the 10 Janpath is always open for the people from Lakshadweep and their demands have been considered with top priority always".
Referring to some of the demands of the Island people, she said a proposal to introduce two more passenger ships to link the Lakshadweep with the mainland was under consideration.
The demand for a separate armed battalion of the territorial police for Lakshadweep and provision of Hard Area allowance for civil servants in the island service would also be considered.
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Congress MP from Lakshadweep Hamdullah Sayeed and local party leaders were also present at the convention.
The jetty would enable passenger ships to berth, benefiting islanders in particular and travellers, including tourists coming to Minicoy.
After the function, she interacted with elders and Congress workers of Aoumugu village in Minicoy.
Earlier on her arrival at the Kochi Naval airport on the way to the island, she was accorded a warm reception by Congress leaders of Kerala.
Gandhi will address a special party convention in Kochi tomorrow, projected as the launch of the Congress' election campaign in party-led UDF-ruled Kerala.