Passing Interface's method as parameter

Is it possible to pass interface's method as parameters?

I'm trying something like this:

interface

type
  TMoveProc = procedure of object;
  // also tested with TMoveProc = procedure;
  // procedure of interface is not working ;)

  ISomeInterface = interface
    procedure Pred;
    procedure Next;
  end;

  TSomeObject = class(TObject)
  public
    procedure Move(MoveProc: TMoveProc);
  end;

implementation

procedure TSomeObject.Move(MoveProc: TMoveProc);
begin
  while True do
  begin
    // Some common code that works for both procedures
    MoveProc;
    // More code...
  end;
end;

procedure Usage;
var
  o: TSomeObject;
  i: ISomeInterface;
begin
  o := TSomeObject.Create;
  i := GetSomeInterface;
  o.Move(i.Next);
  // somewhere else: o.Move(i.Prev);
  // tested with o.Move(@i.Next), @@... with no luck
  o.Free;
end;

But it is not working because:

E2010 Incompatible types: 'TMoveProc' and 'procedure, untyped pointer or untyped parameter'

Of course I can do private method for each call, but that is ugly. Is there any better way?

Delphi 2006

Edit: I know that I can pass whole interface, but then I have to specify which function use. I don't want two exactly same procedures with one different call.

I can use second parameter, but that is ugly too.

type
  SomeInterfaceMethod = (siPred, siNext)

procedure Move(SomeInt: ISomeInterface; Direction: SomeInterfaceMethod)
begin
  case Direction of:
    siPred: SomeInt.Pred;
    siNext: SomeInt.Next
  end;
end;

Thanks all for help and ideas. Clean solution (for my Delphi 2006) is Diego's Visitor. Now I'm using simple ("ugly") wrapper (my own, same solution by TOndrej and Aikislave).

But true answer is "there is no (direct) way to pass interface's methods as parameters without some kind of provider.