The Gunners were interested in acquiring Evans last summer, along with Manchester City, who had a £18million bid turned down in August.
City are also understood to have made another enquiry for the 30-year-old centre-back, but no formal offers have been tabled as of yet.
The former Manchester United man has been linked with a couple Premier League clubs, including Leicester City, and has yet to commit his long-term future to West Brom.
Evans has made 80 Premier League appearances for the Baggies since joining them in August 2015.
Despite being linked with a move for Evans, Arsene Wenger has since admitted that the club are not close to signing anyone.