Ideally as a 3rd party site is the source:
1 You have the same header footer tag snippet you use for your report suite.
2 If using tracking IDs on 3rd party website ensure URL CTA structure is in line with formats to your tracking ID infrastructure.
This way it will be more of a seamless integration and attribution of success. The 3rd party pages will appear as more or less new pages within the report suite.(even though they are 3rd party hosted).
regards