@César Castillo López - Thanks again for your query and using Microsoft Q&A Platform.
Resurfacing the information from the comments here for broader community usage.
There isn't any supported way to replicate from one Application insights instance to another, one of the possibility is to explore Workspace-based Application Insights resources , however this might incur some cost based on where you are hosting the Log Analytics work space and also in your case you might have to figure out the permissions needed to send logs from more restricted subscription to a less restricted subscription. Please be aware that migrating to a workspace-based resource will not replicate all the existing data. Only new data starts flowing to the new Log Analytics resource, and the old data remains in the old Application Insights resource.
Approach to use Workspace based Application insights might force to create new Application Insights instance and also have your web app point to it.
Hope this information helps, please feel free to revert back if you have any further queries.