The desceased was Fazle Rabbi Rajib, 22.
Police said Noakhali District BCL activists Mohammad Wasim and Mohammad Yasin, along with their friend Rabbi, went to College Para at Begumganj in the evening to settle an intra-BCL feud.
At one stage, a youth named Saju, belonging to their rival BCL group, opened fire on them.
Rabbi died on the spot. Wasim and Yasin were hit by bullets and whisked off to a local hospital.
No case was filed over the incident, Saiful Islam, sub-inspector of Begumganj Police Station, told this correspondent.