Mr Meli, 20, was set upon a mob near houses at Glasvey Close at around 1 am on Saturday morning.
He was heading to a local bar for a late night carry out when he was jumped, stabbed and kicked repeatedly to the head.
Police said the youths, two aged 18 and one aged 16, had been arrested on suspicion of murder and attempted murder.
They are also investigating a serious assault a friend of Mr Meli’s pal who was also stabbed.
He was taken to Royal Victoria Hospital for treatment but has since been discharged.
The senior detective investigating the murder, Det Chief Inspector Gareth Talbot, said: “After examination by ambulance staff the man was pronounced dead at the scene. A number of injuries were noted on the body and as such, we are treating this death as murder.
“I would appeal to anyone who has any information or who witnessed any disturbances in the area of the Stewartstown Road or Glasvey Close to contact detectives at Musgrave on 101,” added DCI Talbot.
Sinn Féin MLA Jennifer McCann said she was “shocked” to hear about the death.
“I have spoken to the local PSNI and they tell me they are treating it as a violent death,” she said.
“My thoughts and prayers are with this young man’s family at this time and I would appeal to anyone with information to bring it forward to the PSNI.”