Chadian soldiers say they have killed more than 200 Boko Haram militant and lost nine men during a battle to recapture a key town in north-eastern Nigeria.
Boko Haram militants killed about 30 people after fleeing from the battle to Cameroon, a resident said.
It was the most intense battle known to involve Chadian troops since they entered the conflict in Nigeria.
Chad and Nigeria are also bombing the vast Sambisa forest, where the militants have bases.
Boko Haram fighters were suspected to have taken to the forest more than 200 schoolgirls it abducted in April from the north-eastern Nigerian town of Chibok.
It is not clear whether any of the girls are still there. Boko Haram leader Abubakar Shekau has since said that the girls have been married off.
Chad sent troops to Cameroon last month to join the offensive against Boko Haram, following widespread criticism of the Nigerian army’s failure to curb the insurgency.
About 2,000 Chadian troops backed by armoured vehicles crossed into Nigeria on Tuesday to battle Boko Haram for control of Gamboru, a small town on the border with Cameroon.
Chad’s army said it had recaptured the town, although the sound of automatic gunfire was still heard on Wednesday in Gamboru, AFP news agency reports.