A rocket launcher also landed at Gomari Airport, a community about four kilometres from the airport located in the state capital.
A resident said no life was lost in the incident but Daily Trust could not independently verify this at the time of this report.
A military source said troops of 33 artillery, Njimtelo, opened fire when they sighted insurgents on the outskirts of Maiduguri.
The insurgents were said to have also engaged troops in a gun battle.
The incident happened after at least 20 persons, including two army officers, lost their lives when suspected ISWAP fighters and troops clashed at a military base in Rann, headquarters of Kala Balge Local Government Area of Borno.
Security sources said the incident occurred around 1:30am of Friday at Rann, which shares borders with Cameroon.
It was learnt that the troops killed more than a dozen of the outlawed group and destroyed their operations vehicles.
There was also an attack at Malam Fatori, headquarters of Abadam Local Government Area of Borno.
The town, which shares a land border with Niger Republic, had been attacked severally by Boko Haram fighters.