Solid line = floor (spellings that unambiguously belong to the group). Shaded band up to the dashed edge = ceiling (the most it could reach if every ambiguous spelling counted here).
Remi has been climbing in recent years. All-time it's been given to 47,812 U.S. babies, the 194th most common name by sound today, peaking at 4,164 in 2022, with 3,517 in 2025.
By sound, Remi also includes the spellings Remy.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).