Java Generics - method which accept different generic interfaces

Say I have this code:

IOperation<?> parameter1 = null;
ITotallyDifferentOperation<?> parameter2 = null;

switch (OPERATION_TYPE) {
  case TYPE_1:
    parameter1 = new MyOperation<Type1>();
    parameter2 = new MyTotallyDifferentOperation<Type1>();
    break;
  case TYPE_2:
    parameter1 = new MyOperation<Type2>();
    parameter2 = new MyTotallyDifferentOperation<Type2>();
    break;
  ...

myMethod(parameter1, parameter2);

The method which accept the two interfaces implemented by MyOperation and MyTotallyDifferentOperation:

void myMethod(final IOperation<?> operation, final ITotallyDifferentOperation<?> totallyDifferentOperation) {
  operation.processList(totallyDifferentOperation.getList());
}

totallyDifferentOperation.getList() returns a List<T> which is equal in type of the List<T> accepted by operation.processList().

This code obviously does not compile.
Are there other patterns to obtain the same result or this code can be corrected?