How Do I Get Sessionid Using Singlesignon Enabled Account.

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C#

.NET

I have singlesignon enabled account. Using Authentication WSDL we are able to authenticate user now
we need our application(C#) to search contact,Open new contact page in salesforce

Before singlesignon,we login into salesforce,search contact,open new contact all these scenarios acheived through
"Enterprise WSDL"(using the session ID)

After singlesignon,We are not getting session id to do our search

Let me know is there is a way to handle these scenarios through C#.