Everyone loves to jump on the PM in these forums, lol.
I think a lot of the previous responses missed the fact that your PM is indeed collecting the rent each month, you are just upset that the tenant pays a few days late each month. @Jay Hinrichs nailed it: So what?
I agree it's mildly annoying, but this is not uncommon and there's very little more your PM can do about this. If a tenant is late, you post a pay or quit notice, and then if they pay, that notice is no longer valid (they complied with the notice when they paid).
You can't move forward with an eviction because a tenant paid their rent a few days late. And it would be penny wise and pound foolish to spend $1000 or so on an eviction lawsuit and eat 1-3 months of vacancy over this even if you could evict (which, again, you can't).
I also find myself wondering what you your lease says about late fees? In some cases this could actually add to your rental income if the tenant pays late fees each month. It softens the annoyance when you get an extra $50 or $100 bucks in late fees.
Another option we've successfully implemented is to simply ask the tenant why they pay a week late every month. Often there is a valid reason, such as "My social security check arrives on the 7th of each month". In cases like this, we've offered tenants a "due date change fee" each month in lieu of late fees. For example, we had a tenant who paid around the 12th of each month and accumulated $100 in late fees every month. We offered them an alternative of paying an extra $50/mo convenience charge for changing their due date to the 12th.
And finally, why are even involved in rent collection if you have a PM? Our rent is due on the 1st, late fees kick in on the 6th and max out at $100 on the 10th, and we spend the 6th through the 15th chasing down a few stragglers each month before transferring rents to owners around mid month. In the vast majority of cases, the landlord wouldn't even be aware of a late payment (or our considerable efforts to collect it). They'd just get their money on time each month. They pay us to deal with the minutia, so it's not even on their radar unless it goes beyond mid-month.