See this image:

Thank you!
See this image:

Thank you!
Best answer by takashi
You can control kinds of spatial relationships that should be detected with the "Tests to Perform" parameter. Try this setting to exclude the TOUCHES relation.
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Tests to Perform: EQUALS OVERLAPS CONTAINS WITHIN
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See also here to learn more about spatial relations
Spatial Relations Defined (http://docs.safe.com/fme/html/FME_Transformers/Default.htm#Transformers/spatialrelations.htm)
Takashi