Suppose the following snippet:
template <class T>
void fct(T* a, T* b){
  // do something
}
A a;
fct(&a, nullptr); // Problem here!
This makes trouble, since the call arguments are of type A* and nullptr_t and so the compiler can not deduce template parameter T.
Generally, I can imagine several ideas how to solve this:
A* b = nullptr and use fct(&a, b)
fct for the nullptr casefct(&a, static_cast<A*>(nullptr))
Or is there a more clean solution, like the creation of a something like a "typed nullptr"?
Just make the second argument a non-deduced context, e.g:
template <class T>
void fct(T* a, std::remove_reference<T*>::type b) {
I would also suggest the following solution:
template <class T, class U>
void fct(T* a, U b){
  T* b2 = b;
  // do something
}
A a;
fct(&a, nullptr); 
This allows for a wider usage of fct, but maybe that's exactly what you want to.
For example, consider
class A {};
class B : public A {};
...
A a;
B b;
fct(&a, &b); // calls fct<A>
// the following will not compile:
// fct(&b, &a);
You can use the following code:
#include <type_traits>
template<class T>
void f_impl(T*, T*)
{
    std::cout << typeid(T).name() << "\n";
}
template<class T, class U>
void f(T l, U r)
{
    static_assert((std::is_same<T, U>::value && std::is_pointer<T>::value) || 
                  (std::is_same<T, std::nullptr_t>::value && std::is_pointer<U>::value) || // First non-null 
                  (std::is_same<U, std::nullptr_t>::value && std::is_pointer<T>::value)    // Second non-null
                  , "");
    using P = typename std::conditional<std::is_same<T, std::nullptr_t>::value, U, T>::type; 
    f_impl<typename std::remove_pointer<P>::type>(l, r);
}
int main()
{
    int i;
    f(&i, nullptr);
    f(nullptr, &i);
    // f(i, nullptr); // won't compile - non-pointer
    f(&i, &i);
    double d;
    // f(&i, &d); // - won't compile
}
This version tests will allow to call f with one nullptr (but not both), or with two pointers to the same type. With c++14 you can also use things like std::conditional_t, std::remove_pointer_t and std::is_null_pointer to remove some biolerplate.
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