Curve on surface without guide line

I usually use a curve with the matrix function along a curve on a surface but I wish put my curve on the surface without using a guide curve on this surface.  That would allow me to place my curve where I want.
Do you have an idea, thank’s

I’m not sure what you mean. Best would be if you posted an example.
Meanwhile you can try using the “OnSurface object” snap.

Hi Richard- Project or Pull a curve with History turned on, is how I do this, if I understand your question.