AN A320 FLC'S RPT ON A CONFUSING; COMPROMISING INCIDENT WHILE OPERATING ON A PARALLEL VISUAL TO RWYS 28L-R AT SFO. EVENT INDICATED A 'LACK OF COORD' BTWN THE 2 APCH CTLRS WHO WERE ON SEPARATE FREQS.

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INITIAL APCH CTLR TOLD US TO EXPECT VECTORS FOR AN ILS TO RWY 28R AT SFO. UPON ARRIVING AT THE VOR WE RECEIVED VECTORS FOR AN APPARENT L DOWNWIND. FLT CONDITIONS WERE SMOOTH AND VFR; HOWEVER; WE COULD SEE A LOWER CLOUD LEVEL ON THE FINAL TO BOTH RWYS 28R AND 28L AND ASSUMED WE WOULD BE DOING AN ACTUAL ILS APCH. ASKING THE SECOND APCH CTLR FOR A 'ROUGH IDEA' OF A SEQUENCE WE GOT AN AMBIGUOUS REPLY ABOUT CHANGING SOMETHING AND HE HAD NO IDEA. WE STARTED GETTING VECTORS FOR BASE AND QUERIED WHETHER WE WERE GOING FOR THE L OR R SIDE. WE WERE TOLD THE L. I QUICKLY CHANGED IT IN THE MCDU WHICH IS THE ONLY WAY TO TUNE A LOC IN THE AIRBUS. WE WERE STILL VMC AND REALIZED OUR CLRNC MIGHT BE A VISUAL AS WE WERE TOLD TO RPT A B757 AT OUR 2:30 O'CLOCK POS. OUR ASSIGNED SPD SINCE THE SFO VOR WAS 180 KTS. REALIZING THAT WE COULD MAINTAIN VMC TO THE ARPT AND HAVING THE B757 IN SIGHT RPTED SO. OUR CLRNC WAS NOW TO MAINTAIN 180 KTS TO THE BRIDGE AND VISUAL WITH THE B757 CLRED THE VISUAL TO RWY 28L TWR NOW. ACTUALLY; BOTH US AND THE B757 ARRIVED CONVERGING OVER THE BRIDGE SIMULTANEOUSLY. TCASII WAS ON A TA ONLY AND THE WINDS WERE A SLIGHT L QUARTERING HEADWIND. REALIZING THAT THE B757 WAS SLOWING DOWN MORE THAN US; WE KEPT OUR SPD AND PULLED SLOWLY AHEAD. WE LANDED ON RWY 28L AT AB29 LCL. MEETING THE B757 CAPT IN THE TERMINAL LATER HE TOLD US THAT HE WAS TOLD TO MAINTAIN 160 KTS TO THE BRIDGE AND THAT THE AIRBUS WOULD FOLLOW HIM; WHEN HE REALIZED THAT WE BOTH CONVERGED ON OUR RESPECTIVE FINAL APCHS. SIMULTANEOUSLY; HE ELECTED TO SLOW BACK TO FINAL SPD. HE WAS A BIT UPSET THAT WE WENT AHEAD AND HE LANDED AT AB30 ON RWY 28R. WHEN WE RELAYED OUR SIDE; WE BOTH REALIZED THAT BOTH APCH CTLRS PROBABLY WEREN'T 'TALKING' TO EACH OTHER WHICH LED TO THE CONFUSION ABOUT SEQUENCE. WE WERE BOTH VMC AND SAFETY WAS NEVER COMPROMISED BUT SFO BAY APCH CTLRS HAVE BEEN 'RELAXED RECENTLY AND SOMETIMES THIS LEADS TO 'COMPROMISABLE' SITS. SUPPLEMENTAL INFO FROM ACN 394880: AN AREA OF CONFLICT ARISES BTWN A VISUAL APCH CLRNC AND AN APCH CTLR STIPULATION TO MAINTAIN A SPECIFIC AIRSPD.