Can we have conversational call over asynchronous call

[Raj Kumar Bindal]

Suppose,
Stand-Alone Client --calls--> Client web service --calls Asynchronously--> web serviceA --calls--> Conversational web serviceB.

Is it possible like this??

and, tell me if the next one is possible.

Stand-Alone Client --calls--> Client web service --calls-->Conversational web serviceB--calls Asynchronously-->web serviceA