How are folks handling third-party support tickets

How are folks handling third-party support tickets

Like most companies, we have third-party vendors that provide services. We often manage the service, and will occasionally get requests to augment or modify what they are providing (for example, a web page that's designed and hosted by a third-party).
 
What do folks typically do with requests like this that should be tracked and that we may prioritize but don't necessarily have any influence over the timelines.
 
For example, do you throw them in to a separate support group? Do you keep a clock running against them? Do you close them when the third party addresses them? Do you keep them in your dev support queue and give them a separate category?
 
I'd be interested to hear your approach.
 
Thanks,
Adam

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