See the white marks on her face? I used a white Uniball Signo pen on the opposite page. I left it open to dry (as I always do) and it was fine the first couple of days. Over the next few days, the white started to wipe off onto the page next to it (this one.) I've noticed it in all of my journals where I used the Uniball pen. I don't seal my pages with anything. Ever.
I've been using the white Sakura Glaze or Souffle pen and I'm perfectly happy with using either of them. (You only need one! They both look the same. Just make sure it's not the clear Glaze pen. The white pen writes clear and dries white. The lid is the one that is most opaque.) They write on a variety of surfaces (including paint and tape.) They are permanent when they dry. Like all gel pens, make sure you're not too heavy handed. The ink should just flow from the pen.)
More on white pens here.
Other pen information here (yes, I know it needs an update. I hope to do that very soon.)