“It’s sort of like living with the elephant in the room. I would see it as a challenge, to make an absolutely brilliant pop album at this stage of our career, and that would be something quite remarkable,” Summers, 64, said.

The Police broke up in 1984 following five albums and a relationship-wrecking world tour. Their hits include “Roxanne” and “Every Breath You Take.”

Since then, frontman Sting, 56, has sustained solo stardom. Guitarist Summers and drummer Stewart Copeland, 55, have pursued their own, much more low-key recording projects.

They reunited for a 30th-anniversary world tour that began in May and is scheduled to run into next year.

Summers said the trio has yet to discuss in any detail the prospect of recording a new album together. But he said the tour had sharpened their group skills and — four months into the reunion, creating something new together would make sense.

The Police performed a sold-out concert Saturday in Dublin’s 82,000-seat Croke Park that received praise from critics and the largely 30-something crowd alike.

Summers — whose percussive guitar style is an important part of The Police’s sound-fusing pop, punk, jazz and reggae — said the tour is a full-time workout.

“Right now it is just the tour and holding everything together, mentally, physically and musically. The tour and the traveling and the playing and the tension you have to keep to do it every night is all-devouring,” he said. “It is just too much.”

Summers spoke to reporters in a central Dublin park, where he was signing copies of “I’ll Be Watching You: Inside The Police 1980-1983,” his personal photographic record of the band’s glory years. Last year he published his autobiography, “One Train Later: A Memoir.” –