During her two-day stay, Swaraj will call on Sri Lankan Prime Minister Ranil Wickremesinghe and hold talks with her counterpart Mangala Samaraweera.
Swaraj will today call on new President Maithripala Sirisena. Samaraweera will host a dinner for his Indian counterpart later tonight.
Swaraj had last visited Lanka in 2012 as Leader of the Opposition in the Lok Sabha.
Modi will be the first Indian prime minister to travel to war-ravaged Jaffna in Tamil-dominated Northern Province and Trincomalee in the Eastern Province.
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He will address the Sri Lanka Parliament and is scheduled to travel to Anuradhapura and Kandy.
Modi's visit will be a return visit after Sirisena's visit to New Delhi last month that saw the two countries sign a civil nuclear pact. It was Sirisena's first overseas visit since becoming president in January.