Well, I'm big on taking the bull by the horns and sticking your own hand out. But that is really, really tough for the new guy, scared and shaky, not knowing how this works or what to expect.
A lot of this is the responsibility of the people that have been there before.
Stand up, spot that new guy, invite him out for coffee. Put your arms around him and don't let go.
Stop huddling in our little cliques after the meeting like you have to earn your way into our little secret 'cool sober club.'
'If he wants what I have, he'll come ask for it,' kind of crap we fall in to. The scared new guy doesn't have the strength to pick up that phone. So how about me calling him. That works too.
'Hey man, I'm heading over to that 7pm meeting. You want to meet there early and talk about the solution?"
Or, probably more productive, just invite the new person along to whatever it is you are doing.