Arvind was 79 and is survived by a daughter.
Arvind, born in Mumbai in 1934 and younger brother of another former India cricketer Madhav Apte, was a reserve opener during India's tour of England in 1959.
An attacking opening batsman with a wide range of strokes, he played only one Test match for India when he was selected for the third Test against England at Leeds following an injury to Nari Contractor.
He scored just eight and seven in both the innings of the match, his first and last for the national team.
In his post retirement days, Arvind used to shuttle between India and England, spending his time in both the countries.