Please define your term
It appears convergence means different things to different people. We are deploying a "converged" service across multiple distribution centers throughout eastern US (Florida to Maine and west past Illinois). The service links our facilities and provides ISP-managed VoIP, privately routed WAN, and internet access via connections ranging from 4 T1 lines to multiple T3 over SONET. The vendor calls that "converged" services. Cellular and wireless are not part of the deal.
Depending on the context, convergence is like Web 2.0, a slippery, vague, potentially hazardous concept, complete with attached unreasonable expectations (usually different ones for different members of senior management/Board of directors). Easy to get fired for excessive ambiguity.