CL65 CREW HAD CONFLICT WITH OTHER TAXIING ACFT ON THE GND IN IAH.

Narrative

WE WERE FOLLOWING AN ACR B737 ON FINAL APCH. THAT ACFT SLOWED EARLY AND WE WERE GAINING ON HIM; AT WHICH POINT WE WERE INSTRUCTED TO SLOW TO 160 KTS. THE SEPARATION WAS 2 1/2 MI SO WE REQUESTED TO LAND A LITTLE LONG TO AVOID WAKE. TWR THEN REQUESTED WE GET OFF AT THE LAST HIGH SPD (TXWY SF). WE WERE ON RWY 27 AT IAH. WE EXITED AT THAT TXWY AS INSTRUCTED AND BEFORE WE COULD STOP; TWR INSTRUCTED US TO TAXI TXWY SA; TXWY SC; AND TO CONTACT GND CTL. WE EXITED THE RWY AHEAD OF WHERE THE OTHER ACFT DID; DUE TO THE LONGER LNDG AND THEREFORE WE WERE AHEAD OF WHERE HE WAS TAXIING ALONG THE PARALLEL. WHILE HE WAS ON GND CTL AND WE WERE STILL WITH TWR; APPARENTLY NOBODY WAS INSTRUCTED TO GIVE WAY TO THE OTHER ACFT; WHICH I AM SURE WE ALL ASSUMED IT WAS THE OTHER ACFT. NO EVASIVE ACTION WAS NECESSARY; HOWEVER; THE ACR DID STOP TO GIVE WAY TO US. TWR CTL WAS CALLED ON THE TELEPHONE; AND THE EVENTS WERE DISCUSSED IN A PROFESSIONAL MANNER. I BELIEVE TOO MANY ASSUMPTIONS WERE MADE BY BOTH CTLRS AND BOTH ACFT.