How is it best to handle tickets from other support systems?

How is it best to handle tickets from other support systems?

We regularly liaise with other support companies and find that their auto response creates a new ticket in our zoho system and then our response creates on in their system, which issues a new auto response and we get stuck in a loop.

Normally after 5 or 6 of these occurrences it seems to stop.

Is there anyway to prevent this?