Is there a way to call a stored procedure with Dapper?

In the simple case you can do:

var user = cnn.Query<User>("spGetUser", new {Id = 1}, 
        commandType: CommandType.StoredProcedure).First();

If you want something more fancy, you can do:

 var p = new DynamicParameters();
 p.Add("@a", 11);
 p.Add("@b", dbType: DbType.Int32, direction: ParameterDirection.Output);
 p.Add("@c", dbType: DbType.Int32, direction: ParameterDirection.ReturnValue);

 cnn.Execute("spMagicProc", p, commandType: CommandType.StoredProcedure); 

 int b = p.Get<int>("@b");
 int c = p.Get<int>("@c"); 

Additionally you can use exec in a batch, but that is more clunky.

Here is code for getting value return from Store procedure

Stored procedure:

alter proc [dbo].[UserlogincheckMVC]    
@username nvarchar(max),    
@password nvarchar(max)
as    
begin    
    if exists(select Username from Adminlogin where Username =@username and Password=@password)    
        begin        
            return 1  
        end    
    else    
        begin     
            return 0  
        end    
end 

Code:

var parameters = new DynamicParameters();
string pass = EncrytDecry.Encrypt(objUL.Password);
conx.Open();
parameters.Add("@username", objUL.Username);
parameters.Add("@password", pass);
parameters.Add("@RESULT", dbType: DbType.Int32, direction: ParameterDirection.ReturnValue);
var RS = conx.Execute("UserlogincheckMVC", parameters, null, null, commandType: CommandType.StoredProcedure);
int result = parameters.Get<int>("@RESULT");

I think the answer depends on which features of stored procedures you need to use.

Stored procedures returning a result set can be run using Query; stored procedures which don't return a result set can be run using Execute - in both cases (using EXEC <procname>) as the SQL command (plus input parameters as necessary). See the documentation for more details.

As of revision 2d128ccdc9a2 there doesn't appear to be native support for OUTPUT parameters; you could add this, or alternatively construct a more complex Query command which declared TSQL variables, executed the SP collecting OUTPUT parameters into the local variables and finallyreturned them in a result set:

DECLARE @output int

EXEC <some stored proc> @i = @output OUTPUT

SELECT @output AS output1