But after a 19-year run that endured the death of the multi-instrumentalist and singer Mary Hansen and the end of its core duo’s romantic relationship, the group went on hiatus in 2009. This month, its nearly decade-long slumber came to an end.

“All along, I’ve seen that people were just waiting for us to come back,” Sadier said over ale and salt-and-vinegar chips at a nearby pub. “And I feel really joyful that we can give it again to people, one more time. But it’s a shared enjoyment. I love this music and I’m so keen to be singing it and performing it again.”

The reunion was stoked by the efforts of the pioneering U.K. electronic label Warp, which bought the rights to the LPs Stereolab released on the major label Elektra in the United States. Warp then began discussions with the band and its longtime manager, Martin Pike, about making the albums freshly available in physical formats — only appropriate for a band that the writer Simon Reynolds called “the ultimate record collection rockers,” whose endless list of influences and interests shifted from album to album, even moment to moment.

Seven albums — including the heralded trio of “Mars Audiac Quintet” from 1994, “Emperor Tomato Ketchup” from 1996 and “Dots and Loops” from 1997 — are being reissued with bonus tracks and packaging extras. And the band — which now includes the drummer Andy Ramsay, the keyboard player Joe Watson and the bassist Xavier Muñoz Guimera — is heading out on tour, starting in Europe this month before arriving in the U.S. in July.

Gane, 54, said the band didn’t want to celebrate those albums, exactly, but “give them some sort of way to exist in the modern world, in 2019.”