First of all this would be a one way communication. Maybe not, but with our current technology we're safe to assume the time it would take to send and receive messages would be far too great for any interactive scenario.
What would you want to tell them anyway? The problems in our world, your problems?
I think our message should be simply this: we exist. And we should not be afraid to say it.
A few months ago S Hawkins said something like we should be afraid if aliens found out we exist because they would come here and do bad things to us. Given the history of mankind, that's what has happened when an technologically advanced civilization meets with another that can't protect itself.
The reason I disagree is that any beings that are able to travel through the stars will have access to essentially unlimited resources. They will come to us out of curiosity not looking to eat us (their biology would likely have evolved so that we are not edible to them).
Throughout our history and to the present, we've always been faced with limited resources of our confined world. That may be a big reason nations continue to struggle getting along.
Getting back to the aliens, how can we communicate that we exist? Is it possible?
Let's discuss some ideas to do it, please comment.