The second Test against Bangladesh starting on 22 November will be played under floodlights at Eden Gardens, the Board of Control for Cricket in India (BCCI) announced Tuesday.
Star Springbok scrum-half Faf de Klerk and flanker Francois Louw will come up against players they know all too well in the World Cup final – England's 'kamikaze kids' Tom Curry and Sam Underhill.
Williams, 34, is expected to call time on his union career after the Rugby World Cup, which will end in disappointing fashion for the All Blacks on Friday with a third-place play-off against Wales.
England booked their place in Saturday's showpiece match in Yokohama with a stunning 19-7 win over New Zealand last weekend that ended the All Blacks' eight-year reign as world champions.