A common souvenir from an evening at a bar is a headache the next morning. But one L.A. apparel maker provides partygoers a more lasting keepsake: a custom T-shirt.

Hit+Run brings portable silk-screening machines to sponsored parties and encourages guests to choose their own slogans and patterns for a free shirt. When Hit+Run worked a gig at a Lexus-hosted event at a bar called the Brig in Venice last month, for example, guests chose from among a selection of designs, much the way they ordered drinks off the menu.

The 12-employee downtown L.A. company charges event sponsors for a visit. The starting price is $2,000 for three hours and 150 custom shirts.

“We will create original art for the event based on the client’s theme,” said Brandy Flower, Hit+Run’s co-founder.

Since Flower and co-founder Mike Crivello started the business in 2005 with silk-screening parties at their friends’ houses, they’ve printed shirts for more than 450 events.

And now the company’s gone international. In March, it hired a crew of six in London to expand in that market. It has also held events in Australia and Japan.

Hit+Run also designs and sells its own preprinted shirts that sell for $30 on its website. But it’s the custom-made models that Flower said are the biggest draw.

“We shy away from logos and tag lines,” Flower said. “We really fight to keep the art creative. It makes the shirt one of a kind. It’s not just some swag shirt.”