B767-300 and 300 ER
Air Traffic Control Fully Certified
Communication Breakdown
ATC Issue All Types; Airspace Violation All Types; Deviation / Discrepancy - Procedural Published Material / Policy
General None Reported / Taken
Human Factors; Procedure
R46 called me for a point out; I didn't catch the call sign or even where the point out was located.  I asked 'Point out on who?' and then he gave his initials and hung up.  I then called D46 and asked them who was it that their R-Side was pointing out.  The Controller then gave me the point out; I said 'no display'.  The Controller then proceeded to PVD the aircraft on our scope.  In the background; I hear the Controller's R-Side state that I said point out approve already.  When the aircraft was finally on my scope; he was already out of 17;500 FT and still within our airspace.  I then approved the point out.  When making phone calls; listen to what the controller is saying; not what you think they're saying.  It also seemed that the aircraft was climbing prior to the initial point out.  So not to do reverse coordination.
Aircraft X was climbing out of MIA approach airspace.  The aircraft was being work by Sector 46.  Evidently the aircraft was issued a climb prior to the point out being made.  At the time the point out was made; the aircraft was already in Sector 21 airspace climbing out of 17;500 FT without a PVD or a point out made.  The point out was made when Aircraft X was at the FLL255005 but not in a timely manner.  Recommendation; review the point out procedures.
ZMA Controller described an airspace incursion event listing human factor failures as the reason for the occurrence.