Nasrallah said earlier this week that two Hezbollah fighters would be released soon as part of an ongoing deal with Daesh for transfer to eastern Syria.
More than 300 militants and their families were allowed to leave for Albu Kamal, a town in the Syrian province of Deir al-Zour that is 6km (4 miles) from the Iraqi border.
France's armed forces are in action as part of the US-led global coalition fighting Daesh in Syria and Iraq.
He said the group is exploring secret ways in which the convoy can cross into IS-held areas without being targeted by the US -led coalition.
The US military said airstrikes targeted a number of individual vehicles and fighters that were "clearly identified as Isis".
This angered both the US-led coalition (which does not want more battle-hardened militants in an area where it is operating) and Iraq (which sees them as a threat because the convoy's proposed destination of Al-Bukamal is close to its own border). It said last Friday that the convoy was still in government-held territory.
The Syrian army has reached the administrative borders of the largely Islamic State (IS)-controlled province of Deir al-Zour in eastern Syria, the Syrian army said Friday.
A Crown for agency strategist - Paulina Velazquez - Medium
Now come a few questions Did they first publish the Appropriate Woman Flyer? For the purpose of giving what to talk to people. But beyond whether you like the campaign or not, whether you want to pout against the agency or not, they did not look bad.
How ironic, is not it? But when you leave that area where you think everything is fine, you realize that you can be better. A Master who managed to get us involved in fulfilling an objective where not only his wisdom but also his heart is placed.
BiodiversidART © art + nature
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The families had left Syria's border with Lebanon on Monday - and were intercepted near Humeima in eastern Syria.
Part of an agreed exchange under the truce went ahead on Thursday as woundedISIL fighters were swapped for the bodies of pro-government forces.
Rami Abdurrahman, who heads the Britain-based Syrian Observatory for Human Rights, said some ambulances that were part of the ISIS convoy were able to cross into ISIS-held territories in Syria.
Military advances against groups such as the so-called Islamic State group, and the groups formerly known as the al-Nusra Front have led to a shift in attitude toward the government led by Bashar al-Assad from Western powers, Assad said.
Earlier this week, an airstrike by the US-led coalition created a crater in a road that the buses had meant to take and destroyed a small bridge to prevent the convoy from moving further east.
They also said the consecutive victories, which have been achieved in Iraq or Lebanon or elsewhere thanks to the religious leadership and faithful fighters, herald a new era in the world. "They're trying a different route; we're watching all the way through", Col. Ryan Dillon, the American coalition spokesman, told The New York Times.