Cannot convert from 'method group' to 'System.Action<object>' error

Solution 1:

DelegatedCall expects a delegate that takes any object as an argument. But your function foo1 that you are passing to DelegatedCall can only cope with a string argument. So, the conversion isn't type-safe and thus is not possible.

Input parameters are contra-variant, but your code needs covariance. (See Difference between Covariance & Contra-variance.)

You can make DelegatedCall generic:

DelegatedCall<T>(Action<T> action)

...or have it take any delegate:

DelegatedCall(Delegate action)

But then implementing it is ugly and requires reflection. It also doesn't verify that the function has only one parameter at compile-time.

Solution 2:

Variance doesn't work that way around; you would need

DelegatedCall(obj => foo1((string)obj));

As even in 4.0 it won't believe that every object is a string.

Note that if it was foo1(object) and Action<string> (i.e. the other way around) it probably would work (in 4.0), since every string is an object.