Multiple surface trim

That clarifies the problem statement. I have some ideas, but it would depend on how you have built your model to determine which method would be "best".

In Creo you can have only "one" trimming object when using the surface trim.  Did you pattern the curves shown in your image? If so, you may be able to create a single trim and use reference patterns to automate the trim operations. I f I knew I had to create this type of pattern then I would try to exploit the pattern features to realize the required geometry.

You also may be able to use datum reference features to group the curves used to trim the quilt as part of the solution. This will allow you to group curves such that they can be selected as intent objects for use in the trim feature.

Defining Intent Surfaces and Chains (ptc.com)

My guidance for how to do this would be to pattern a datum point on the surface at the centroid of each perimeter "loop" that you need mapped onto the surface of the model. Once you have these points on the surface you can use them to drive reference patterns and minimize the manual creation of features by exploiting the pattern features. This would involve creation of the patches you want to keep in your image above, rather than trimming one large quilt many times to get the result desired,

If your model is not built in such a way to support the use of reference patterns, then you would need a different approach to leverage your work already completed.