A variation on the random event, but with no free Contact would be:
They're all at one of their regular haunts (one that's a known hive of scum and villainy) when a troup of Lone Stars come in for a shake down, they start checking IDs/Permits, cuffing and hauling away chumps for anything at all (no ID/Permit, questionable association, or maybe something funny came up about their ID or permits while not straight up revealing it as fake) - if PCs resist, great - after the lead stops flying you can stick one NPC in there with them that made it through who has a nearby safe-house or squat where they can all lay low. If they don't resist (or if they fail at resisting - i.e. 'Stars use Stick'n'Shock), they're locked up for a few days, nothing comes of it and when they're released, one of the PCs with an appropriate Contact gets a job from his Fixer and just happens to have met some new chummers with certain sets of skills... This scenario is less controllable and less likely to really work well (without seeming forced) and form bonds, but can work if you know your PCs well enough. I'd lean towards making their be no escape, so they all end up in lock up for a couple nights (then you can have some jail high-jinks ensue, where they could bond together), but just figure out a way so that they all end up in the same place and can't really leave ('Stars everywhere, whatever) and it should work out.