reached a career-high innings of relief in 2014, posting a 2.51 ERA while striking out 63 batters. He also had a career-low walk rate of 3.3 per 9 innings. On January 24, 2015, Alburquerque and the Tigers avoided arbitration agreeing on a one-year, $1.725 million contract. Alburquerque pitched a career-high 62 innings out of the bullpen in 2015, posting a 4–1 record and 4.21 ERA. He shared the major league lead in balks, with four. On December 2, 2015, the Tigers announced they would not tender a contract to Alburquerque, making him a free agent. Los Angeles Angels On January 19, 2016, Alburquerque signed a 1-year, $1.1 million contract with the Los Angeles Angels. On March 29, the Angels optioned Alburquerque to the Triple-A Salt Lake Bees. In two games with the Angels, he appeared in two innings, posting a 4.50 ERA. He was designated for assignment on May 21. He was released on August 13. Seattle Mariners The Seattle Mariners signed Alburquerque to a minor league contract on August 23, 2016. Kansas City Royals On January 7, 2017, Alburquerque signed a minor league contract with the Kansas City Royals that included an invitation to spring training. The Royals promoted him to the major leagues on May 10. In 11 games with the Royals, he went 0–1 with a 3.60 ERA. He was released on July 29. Chicago White Sox On August 4, 2017, the White Sox signed Alburquerque to a minor league deal. In 10 games with the White Sox, he went 0–1 with a 1.13 ERA. He was granted free agency on December 1. Toronto Blue Jays On January 18, 2018, Alburquerque signed a minor league deal with the Toronto Blue Jays. He was released on July 2, 2018. Acereros de Monclova On February 26, 2019, Alburquerque signed with the Acereros de Monclova of the Mexican League. He made 52 appearances in 2019 for Monclova, posting a 1-1 record and 3.27 ERA with 38 strikeouts in 52.1 innings pitched. Alburquerque did not play in a game in 2020 due to the cancellation of the Mexican League season because of the COVID-19 pandemic. In 2021, Alburquerque pitched to a 0–1 record with a 2.78 ERA in 24 relief appearances, striking out 26 in 22.2 innings of work. He was released by the Acereros following the season on August 26, 2021. Long Island Ducks On February 16, 2023, Alburquerque signed