QuickBooks Online is an awesome all-in-one solution for your business bookkeeping. Since it's a cloud-based program, QBO can be integrated/connected to tons of awesome third-party apps, which expand the capabilities of the program. I'd be happy to explain your options if you're looking into using TelPay.
At this time, TelPay can't be directly integrated with QBO. This third-party service doesn't rely on QuickBooks Online Payroll systems either, so you're welcome to use it outside the program as you see fit.
If you're looking for a payments/payroll app that you can sync with QBO, you can check out a list of all the compatible apps here: QuickBooks App Store.