Milani is the modern American name derived from the Italian city of Milan — the surname Milani ("from Milan") used as a feminine given name in the 2010s American naming tradition. Milan itself is one of the world's leading fashion and design capitals; Italy's second-most-populous city; home to La Scala opera house, the Duomo cathedral (largest in Italy), and the Salone del Mobile design fair. The name Milani also appears as a Hindi-origin given name meaning "a meeting, union" — used in Indian-American families. Milani Cassidy — American model.
Milani does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Milani reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.