Floortime can be used in the context of Routines-Based Early Intervention (RBEI). Often, Floortime practitioners think it's the only thing they should be doing with families, so that would be inconsistent with our primary service provider (PSP) and family consultation approaches. The PSP needs to attend to all child and family needs and needs to use coaching practices (family consultation). Floortime can be what the PSP suggests to the family, for addressing social relationships (one of the three foundational outcomes in the RBEI model), rather like incidental teaching is what we suggest as an intervention method the family can learn.
As the RBEI model matures, I am more and more convinced we should be incorporating parenting strategies, such as talking and reading to the child, behavior management, and effective teaching. I would put Floortime in this category.
Philosophically, I come from a behavioral orientation, and Greenspan comes from a mental-health orientation, but there is more overlap than separation in our approaches.
(In the picture taken from Greenspan's website, I'd rather see the professional in the background and the parent interacting with the child, but this is presumably a publicity shot!)