Meshaal's comments posted by pan-Arab news website Al-Arabi Al-Jadid were the first by a leader of Hamas, which does not recognise the Jewish state, to openly confirm such contacts with Israel.
Israel itself has denied any direct or indirect contacts with the Islamist militant movement which rules Gaza and with which it fought a devastating summer war in 2014.
"So far the contacts seem positive. But so far we haven't reached any agreement. We cannot say today that we have something in our hand. There are only discussions," Meshaal said.
On Tuesday, the West Bank-based Palestinian Authority accused Hamas of holding secret talks with Israel that would endorse the separation of the Palestinian territories.
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Arab and Turkish media have carried reports, picked up by Israeli media, of talks aimed at reaching an eight- or 10-year truce in return for Israel lifting its blockade on Gaza.
"There have been negotiations and they are on the verge of reaching an agreement about a truce of eight to 10 years," Palestinian foreign minister Riad al-Malki said.
The Fatah party of Palestinian president Mahmud Abbas, Hamas's rival, said ex-British prime minister and former international Middle East peace envoy Tony Blair was acting as a mediator.
"The Hamas-Blair agreement... Paves the way for the division and isolation of the Gaza Strip," said Fatah spokesman Ahmed Assaf.
This, he added, would help "Israel to achieve its goal of preventing the creation of a Palestinian state based on 1967 borders", he said on Monday.