Care to elaborate? I'm aware there are conventions, but can't see how they help when you're compounding daily and a day disappears.
Say Bank A lends $10M to Bank B on Monday at 0.1% per day. On Tuesday B pays $1k to A. The following day is a Thursday. How much B owes A? $1k or $2k? $1k sounds reasonable but unless you modify your date library you'll probably get $2k.