Sai sits next to 3 phonetic neighbors — Cy, Shy, and Jai are the closest matches by sound. Most share Sai's Indian-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"victory, prosperity"
"seer, one with divine insight"
"entertaining companion, engaging conversationalist"
"conqueror, opener of doors"
"devoted hawk, Guru's falcon"
"one with steady wisdom"
"blown out, extinguished (of desire)"
"an epithet of Lord Shiva"
"divine, pleasing"
"the sun"
"One who strides victoriously"
"the philosophical principle of unity of self and universe"
"call to prayer"
"descendant of Raghu; epithet of Lord Rama"
"horse-like, swift"
Similar sound: These names share phonetic patterns with Sai — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Sanskrit origins, giving them the same cultural heritage as Sai.
Rhythm: Sai is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.