I think I've found where the problem was.
Since I've installed Language Support on remote installation (which wasn't installed on local one), I've to enable page-edit-lang-* together the page-edit-created permission.
I'll further investigate into role's and page's permissions to see if I've messed with some setting.
@maba @ryan thanks a lot for the replies.
ragnarokkr's post in Weird permissions issue after upgrading to latest dev release (Dev 2.6.22 rc 1) was marked as the answer