Bishop will attend the 10th framework dialogue between the two countries along with Swaraj. She will also hold talks with Defence Minister Manohar Parrikar on Tuesday.
During her four-day visit, the Australian foreign minister will travel to Chennai to inaugurate the Consulate General and participate in an India-Australia business event on Wednesday.
Bishop will also attend social events including a visit to an Australian government funded project for women empowerment in Nizamuddin here.
She will also deliver a lecture at St Stephens college.