The third London Bridge attacker has been named as Youssef Zaghba, a Moroccan-Italian man, the BBC reports.
Pakistan-born Khuram Butt, 27, and Rachid Radouane, 30, both from Barking were the other two attackers.
Seven people were killed and 48 injured in the attack which began at 21:58 BST on Saturday night.
NHS England said 36 people remained in hospital, with 18 in a critical condition.
Butt and his two accomplices drove a hired van into pedestrians on London Bridge before stabbing people in the area around Borough Market.
All three men were shot dead by police within eight minutes of receiving a 999 cal