After bowling out their hosts for 222, Sri Lanka ended the opening day on 60 for 3.
The tourists, who are fresh off their miracle one wicket win in the opening Test last week, need a win or a draw to secure a historic series result.
Day two gets underway at 12 PM UAE time.

Rodrigues-powered India stun Australia to reach World Cup final
Chelsea's Maresca fumes over 'stupid, embarrassing' Delap red card
Liverpool thrashed by Palace, holders Newcastle through in League Cup
Vacherot beats cousin Rinderknech at Masters again in Paris
South Africa humble England to reach ICC Women's World Cup final
