The guidelines for Medical Team Conferences contain this statement:
"Medical team conferences includes face-to-face participation by a minimum of three qualified health care professional from different specialites or disciplines .."
The patient does not need to be present for CPT 99367, but at least 3 medical team members from different specialties must be face-to-face.
The time spent on phone calls between the PICU docs and your doc (as long as the calls were made from the PICU) can be counted in the total critical care time for the PICU doctor. But that doesn't help your doc ...
You could try the 99499 Unlisted E/M, ... you'll have to submit documentation, and I doubt you'll get paid for this by any carrier.
I know your doc spent time on these multiple calls, and it's frustrating not being able to code these types of services. But s/he might want to consider how the parents will feel getting a bill for "phone calls" when their child is so ill.
There's just no "good" answer to this one, I'm afraid.
F Tessa Bartels, CPC, CPC-E/M