Follow the instruction here to allow both Cornell NetID user and Weill Medical ID user to login to your site:

          <SSO discoveryProtocol="SAMLDS"  discoveryURL="https://shibtest.cit.cornell.edu/login.aspx">SAML2</SSO>

         login.aspx is a login page you need to build(see below). You can name it what ever you like and host it on the same server or different server. In this example, we name it login.aspx and store it at root of the site https://shibtest.cit.cornell.edu.

 

When user access your site that require authentication, user will be redirected to this login page. Here is the example of redirect url: https://shibtest.cit.cornell.edu/login.aspx?entityID=shibtestsites.cit.cornell.edu&return=https%3A%2F%2Fshibtest.security.cucloud.net%2FShibboleth.sso%2FLogin%3FSAMLDS%3D1%26target%3Dss%253Amem%253Abb98939caf6a03915ab8b6df13e6b5bb21f40bcec0319d0c8735bb5f91adba44

The redirect url contains a url parameter "return". Your login page need to get the value of the return parameter, and use it to form rediect url after use make their login selection.

User ChooseSend user to url
Cornell NetIDThe value of return parameter&entityID=https%3A%2F%2Fshibidp.cit.cornell.edu%2Fidp%2Fshibboleth
WeillMedical IDThe value of return parameter&entityID=https%3A%2F%2Flogin.weill.cornell.edu%2Fidp