Telecommunications. Founded in 1998, Convergia is a Montreal-based corporation, with a cutting edge fiber optic network spanning over 50 countries across 4 continents and connecting more than 150 points of presence. Convergia business phone services provides Avaya business phone systems, IP office editions, long distance calling plans, digital phone lines, VoIP, Hosted IP PBX phone Systems, high speed internet access services in addition to business travel calling cards.