Linking LinkedIn URLs to Company Names for Accurate Enrichment

Hi everyone, I am using the enrich profile from the LinkedIn URL process to search for recent posts or LinkedIn activity. However, I am finding that some contacts have multiple "experiences" that overlap - whether they're running multiple companies, or have things like "BNI" or other director roles in there. Therefore the wrong company "experience" is being selected, which leads to the wrong enrichment. How do I link both the LinkedIn URL and the company name together (which isn't always at the top of the list of experiences, but is still the primary one I want to track) so that the two work in tandem...