According to reports, the pop star and her mother had a ten-minute conversation with the prime minister and his family about the Southport stabbings.
Previously, it was unclear whether Swift and Sir Keir had met at the gig.
The provision of protection for the artist was not discussed; it is understood that Downing Street stated that this was a separate operational problem for the police.
The free concert tickets that Sir Keir and his family received on August 20th were deemed necessary and have subsequently been reimbursed.
The encounter followed the cancellation of the superstar’s Eras Tour shows in Austria owing to a terror threat and the mass stabbing of three young girls at a dancing lesson with a Taylor Swift theme in Southport.
Universal Music, which is headquartered in Sir Keir’s constituency of Holborn and St Pancras, invited him to the August performance.
After a dispute over ministers getting freebies made headlines during his first 100 days, he reimbursed the cost of the tickets.