In the first round, she crushed German Sarah Ott 6–1, 6–0, and backed it up by another straight-sets victory over qualifier Yuki Kristina Chiang, 6–1, 6–2.
She reached the semifinals of the tournament before her unexpected run was cut short by top-seeded Anna Orlik, in two sets.
She then headed to Waco, Texas for the ITF Spring Circuit, where she lost in the third round to tenth-seed Hsu Chieh-yu, 1–6, 3–6.
She won the USTA National Open in Marietta, Georgia, defeating compatriot Carolyn Chupa, Amelia Martinez and top seed Courtney Griffith to reach the quarterfinals, where she overcame Alina Jerjomina, in three sets.
Following this loss, she headed to Georgia to play the under-18 USTA National Open in Stone Mountain, losing in the quarterfinals.
Her next tournament was Les Petits As, where she lost in the third round to Jessica Ren, and was unable to defend her points from the previous year.
Following this loss, she headed to Lexington for the Under-18 Kentucky International Junior Tennis Derby, where she qualified for the main draw, but was eliminated in the first round by Michaela Boev, 6–2, 6–0.
She then fell in the first round of the Eddie Herr International Junior Tennis Championships as a wildcard to sixth seed Yana Buchina of Russia, in a three-setter.
Grace's final tournament of the year was the Dunlop Orange Bowl, where she managed to defend her points by reaching the quarterfinals.
She won her second ITF Circuit title at the $50k Indian Harbour Beach, Florida defeating top-seed and world No.
At the 2014 French Open, Grace was 20th seed in the women's singles qualifying draw and won three matches to enter the main competition.
In January 2015, Min entered the Auckland Open and Hobart International tournaments but lost in the qualifying first round in both.
Then also in January at the Australian Open, she was unseeded playing in the women's singles main draw for the first time and lost to 14th seed Sara Errani, 1–6, 0–6.