Just got my P365 also and bought a 15 and 12 rd mag with it. The 2 10s it comes with as well as the 15 are tight, but not as tight as the 12. The 12 can barely be seated with the slide forward. Use your right palm on top of the slide while pushing the mag in with your left palm, it will lock in place. I store it like this so the mag can break in, hopefully.
It's also very hard to rack the slide w/ a full 12 rounder in, but it's possible. The good news is that I tested it at the range yesterday and it will not malfunction, even with 12+1 in it.
I've only had a few malfunctions last week during its first outing. I had to tap the slide a bit to get it into battery maybe 2 times. This is no longer an issue after cleaning it and shooting it again.
Also, the maglula/uplula is a finger saver for these mags.