Ok, my P10c magazines showed up today.  I promised I would take a pic of the base-plate differences.

P-07 on top, P-10c on bottom



P-07 = 0.255"
P-10c = 0.328"

Somewhat disappointing, that's 70 thou thicker for no apparently good reason.  On a carry piece I prefer the mags to fit as flush as possible.

Did you try swaping them?
I need to pull base plates and various guns and see if any slim ones would fit even if slightly modified.
 The base plates that are made of metal for the po1 are completely flush. They do stick out a little over your pinky at the bottom but that can be shaved off.  When I get home I may pull one apart to see.
 I went ahead and did a bobtail on the rear  and it carries way better now

I just trimmed mine down on my carry mag for my p10, also removed and contoured the portion of the back strap that hangs below the magwell

Profile slimmed up nicely