The Indian envoy reiterated India's abiding commitment to develop even stronger all-round cooperation with Sri Lanka, including in the sphere of people-to-people relations.
From Houston, Modi will fly to New York to attend the annual session of the United Nations General Assembly.
As per media reports, a kafil in Saudi Arabia has demanded 24,000 Saudi Riyals (USD 6,398) to free the Nurse from Karnataka.
Tensions have also escalated between the two nations after two Indian security force personnel were killed and mutilated in unprovoked firing by Pakistan on May 1 in Kashmir.
Enikanolaiye said the call for the prosecution of culprits was necessary to serve as a deterrent to others, the report said on Thursday.