Narrative:

Aircraft X was cleared for the RNAV approach and descending on the approach. I took the radar handoff on aircraft Y from tower while aircraft Y was still not a conflict. Aircraft X was at 3;000 feet and the two aircraft were now on a converging course and appeared likely to merge. Aircraft X had a crossing altitude of 1;500 feet on the next fix on the approach. Aircraft Y was climbing out northeast bound. At approximately 1;500 feet I called tower and told them to turn aircraft Y or to transfer communications to me. I told aircraft X to continue present heading and to maintain 3;000 feet.at this point aircraft Y was at 1;700 feet and I was anticipating them to continue climbing. I did not receive communications with aircraft Y until after the targets merged and aircraft Y was across the aircraft X's final approach course. Where the targets merged aircraft X should have been below 2;400 feet descending to 1;500 feet for their next crossing restriction. After the targets merged I cleared aircraft X for the visual approach. At this point they were on approximately a seven mile final at 3;000 feet; almost to the fix that they should have been at 1;500 feet. This set them up for a less than stable approach to the runway.I recommend that tower and TRACON meet to collaborate on a safer and more efficient way to handle VFR departures that are going to cross the oak finals.

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Original NASA ASRS Text

Title: NCT TRACON Controller reported a VFR NORDO aircraft crossed a runway's final approach course with traffic descending on the approach.

Narrative: Aircraft X was cleared for the RNAV approach and descending on the approach. I took the radar handoff on Aircraft Y from Tower while Aircraft Y was still not a conflict. Aircraft X was at 3;000 feet and the two aircraft were now on a converging course and appeared likely to merge. Aircraft X had a crossing altitude of 1;500 feet on the next fix on the approach. Aircraft Y was climbing out northeast bound. At approximately 1;500 feet I called Tower and told them to turn Aircraft Y or to transfer communications to me. I told Aircraft X to continue present heading and to maintain 3;000 feet.At this point Aircraft Y was at 1;700 feet and I was anticipating them to continue climbing. I did not receive communications with Aircraft Y until after the targets merged and Aircraft Y was across the Aircraft X's final approach course. Where the targets merged Aircraft X should have been below 2;400 feet descending to 1;500 feet for their next crossing restriction. After the targets merged I cleared Aircraft X for the Visual Approach. At this point they were on approximately a seven mile final at 3;000 feet; almost to the fix that they should have been at 1;500 feet. This set them up for a less than stable approach to the runway.I recommend that Tower and TRACON meet to collaborate on a safer and more efficient way to handle VFR departures that are going to cross the OAK finals.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.