Web application unit integration tests vs CI integration tests

I have an Angular web application which includes unit tests (tests covering various components and data services) and unit 'integration' tests (which test the integration between Angular data services and UI components). The unit test suite is Jasmine, specifically.
This application goes through an automated CI/CD pipeline, and as expected, the unit tests fire as part of the build process.
However, these unit 'integration' tests are not strictly CI integration tests, which would test the integration between the Angular web app, and the various Java Spring Boot micro service APIs it consumes.
My question is two fold: 1) What would constitute a proper CI integration test for such a stack? Is there a integration test suite for such a use case? 2) When do these tests occur in the CI process? Immediately after the build/unit tests?