sorry, i am trying to build you a sample but my Flash program keeps crashing..i even made a post about it.
i am not quite sure if you want ur communication to be automatic. you might have a button in the as2 swf, which onclick, does the magic.
i am going to try hard to help you blind folded since i can test this out. to successfully communicate between the 2 swfs, you must configure the receiving movie to listen for communcations. ie ..the as3 swf.
ie
import flash.net.LocalConnection;
var myReceiver:LocalConnection = new LocalConnection();
myReceiver.sendVariable = function(sentVariable:String)
{
myTextBox.text = sentVariable; <-- this displays what is sent from as2
}
myReciever.connect("_connectionChannel");
so before your swf even loaders ur as3 swf is already waiting or listening for messages sent over _connectionChannel.
within ur as2 swf, you would use a button handler like this
var varToSend:String = "Yaay";
var movieConnect:LocalConnection = new LocalConnection();
myButton.onRelease = function()
{
movieConnect.send("connectionChannel", "sendVariable", varToSend);
}
thats about it. hope you understand.

Kofi