The 23-year-old from Solihull won the deciding rubber in Great Britain's shock win over Russia in April and on Wednesday pulled off another big win over American Ryan Harrison at the AEGON Trophy in Nottingham.
Evans has been criticised in the past for his attitude, and he admitted himself during the Russia tie that he has not been prepared to dedicate himself enough to tennis.
His ranking of 299 is still well below what he is capable of but Davis Cup captain and Lawn Tennis Association head of men's tennis, Leon Smith, believes he deserves his chance.
Smith said: "Dan has backed up his great performance in the Davis Cup in Coventry with another win against a top-100 player at Nottingham this week.
"His form is good, and his focus is on making the most of the opportunity he's been given here."
Evans' Davis Cup team-mate James Ward has already been given a wild card while the field is headed by two-time champion Andy Murray.