TAXIING TFC IN CONFLICT.

Narrative

AFTER LNDG WE CLRED THE ACTIVE RWY. GND CTL INSTRUCTED US TO STAY TO THE R SIDE OF THE TXWY FOR A JET TAXIING THE OPPOSITE DIRECTION AND TO GIVE WAY TO ANOTHER JET WHICH WAS YET TO TAXI FROM AROUND THE OTHER SIDE OF THE MAIN TERMINAL BUILDING. THE CAPT BEGAN TAXIING AND I BEGAN GIVING THE AFTER LNDG BRIEFING TO THE PAX. WHEN I FINISHED THE BRIEFING; WE HAD PASSED THE JET TAXIING THE OPPOSITE DIRECTION. HOWEVER; THE CAPT WAS MONITORING THE WINGTIP CLRNC SO INTENTLY THAT HE'D FORGOTTEN THAT WE WERE TO GIVE WAY TO THE OTHER JET (ABOUT 300 YARDS AWAY ON A SHALLOW ANGLE CONVERGENCE). FURTHERMORE; THIS JET BEGAN TO SLOW DOWN AND SEEMED TO DEFER TO US. WE WERE ABOUT 200 YARDS FROM THE JET WHEN I FINISHED THE PAX BRIEFING AND I REALIZED THAT OUR TAXI SPD RELATIVE TO THE JET WOULD CAUSE US TO PASS IN FRONT OF THE JET. I THEN POINTED OUT TO THE CAPT THAT THIS WAS THE JET WE WERE TO GIVE WAY TO. THE CAPT IMMEDIATELY SLOWED THE ACFT TAXI SPD BUT; BY THIS TIME; WE SEEMED TO BE IN THE JET'S INTENDED TAXI PATH; SO THE CAPT CONTINUED TAXIING IN ORDER TO GET CLR. THERE WAS NO IMMINENT CONFLICT BECAUSE THE CREW IN BOTH ACFT SEEMED TO BE AWARE OF EACH OTHER'S ACFT AND THE JET SEEMED TO BE DEFERRING TO US. WE PASSED COMFORTABLY ABOUT 200 YARDS IN FRONT OF THE JET AT NORMAL TAXI SPD. THE CONTRIBUTING FACTORS WERE THE CAPT'S FOCUSED ATTN ON THE WINGTIP CLRNC WITH THE JET TAXIING IN THE OPPOSITE DIRECTION AND MY DIVERSION OF ATTN TO THE REQUIRED POST-LNDG PAX BRIEFING. HAD I NOT BEEN DOING THE BRIEFING AT THAT TIME; I MAY HAVE REALIZED SOONER THAT THE CAPT HAD FORGOTTEN THE PART OF THE TAXI CLRNC INSTRUCTING US TO GIVE WAY TO THE SECOND JET AND I COULD HAVE REMINDED HIM. PROCS THAT I MAY USE IN THE FUTURE WHICH MAY PREVENT THIS TYPE OF OCCURRENCE ARE: 1) DELAYING THE POST-LNDG PAX BRIEFING OR OTHER DUTIES UNTIL TFC OR OBSTACLES ARE CLRED; AND 2) REPEATING TO THE OTHER CREWMEMBERS THE LAST ATC CLRNC RECEIVED BEFORE I BEGIN OTHER DUTIES WHICH MAY REDUCE THE ATTN I CAN GIVE TO OTHER ACFT AND OBSTACLES.