Iranian state television reported a first and then a second explosion during a ceremony commemorating Qassem Soleimani's death.
The circumstances of the incident are under investigation by New Delhi police alongside Israeli security forces.
Eyewitness video showed heavy smoke rising from the area; Buffalo airport cancels all flights as FBI investigates.
Initial reports suggested the explosion could have come from a falling IDF drone, potentially landing on the Tze'elim Elementary School.
The US said last week a Navy warship in the Red Sea intercepted projectiles launched by the Houthis, potentially toward Israel.
By Sunday morning, the number of wounded had nearly hit 1,900. Some 300 people were dead.
The mission is expected to continue over the coming days with plans in place for the arrival of additional teams from other hospitals next week.
The medical delegation was sent on behalf of the Health Ministry to provide medical treatment to the hundreds of injured citizens.
The explosion resulted in the death of the motorcycle's rider.
Two attackers dead, two officers injured • First such Ankara blast since 2016