Zia-led Bangladesh Nationalist Party (BNP), which had boycotted the 2014 general election, currently holds no representation in the Bangladesh Parliament.
The party has been demanding fresh elections under a non-party caretaker government.
Prime Minister Sheikh Hasina's ruling Bangladesh Awami League had swept the 2014 election and rejected BNP's demand for fresh elections.
"She (Swaraj) said India expects that the polls will be fair... with participation of all parties," BNP's secretary general Fakhrul Islam Alamgir said after Zia's meeting with Swaraj at Hotel Sonargaon where she is staying during her two-day visit.
"On behalf of the BNP, several issues related to our politics and elections scheduled for next year were highlighted during the meeting," Alamgir said.
A BNP delegation led by Zia met Swaraj after her courtesy call on Prime Minister Hasina.
Zia, who was accompanied by several party leaders, did not have any one-to-one talks with Swaraj.
It is said that the BNP is known for its anti-India stance in the country and has been trying to brand the ruling Awami League as a "pro-India" party in a bid to take mileage in domestic politics.
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