Modi's address came hours after the military operations chiefs of India and Pakistan spoke by phone, two days after they agreed to the ceasefire.
A Pakistani military spokesperson told Reuters on Wednesday that five Indian aircraft had been shot down, but the claim was not confirmed by India.
The embassy's statement followed the Global Times post, which said that the Pakistan Air Force had downed Indian fighter jets in response to Indian missile strikes...
The IEA also urged both sides to exercise restraint and resolve their issues through dialogue and diplomacy.
The strikes targeted Kotli, Bahawalpur, Muridke, Bagh, and Muzaffarabad, Pakistani media reported.
A Pakistani military spokesperson said eight people had been killed in the Indian strikes, 35 were injured and two were missing.