Webservice (SOAP/REST) parameters

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Parameterized SOAP
Is there a way to pass parameters to the SOAP operations, similar to the {} parameters in SQL queries?

Parameterized REST
Is there a way to use parameters to fetch the XML from an URL so that we could use a REST service to fetch the data, albeit parameterized.
I would expect something like http://SERVER/PATH?param={Table1::…}