B737-800
Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 180; Flight Crew Total 16000; Flight Crew Type 7000
Situational Awareness
Conflict NMAC
Flight Crew Executed Go Around / Missed Approach; Flight Crew FLC complied w / Automation / Advisory; Flight Crew Took Evasive Action
Human Factors; Procedure; Airspace Structure; Company Policy
I send a cordial greeting and I take the opportunity to describe a TCAS event that was presented at Aircraft X.  In radar vectors we were instructed to intercept the ILS 28L track to the airport.  Already established we are reported that if we have a traffic 787 to follow it as a number two; we inform that is possible with a visual separation of approximately 6.7 miles.  Subsequently; another B737 traffic is informed in approach to the track ILS 28R.  It should be mentioned that we had already intercepted the localizer 28L approach having at present contact with traffic at all times.  When approaching approximately 7.7 nm in final I disconnected the automatic pilot and adjust manually towards the left slightly to give us more traffic separation.  Since we saw him he approached too much!  We even believe that the airplane overshot a little to us.  Seeing this; the TCAS mentions the first call; vertical monitor speed; a second later the traffic call alert and later the climb call alert.  At that time I follow The TCAS RA to separate of the traffic and following the indications of the TCAS; making a go around. We return to land without any comment of ATC.
A Foreign Air Carrier pilot reported a conflict with traffic on the parallel final approach course.