Everton won 2-1 away at Elland Road to beat Leeds in the Premier League on Wednesday.
Leeds dominated throughout but Everton took a ninth-minute lead through Sigurdsson who steered a sharp low cross by Lucas Digne past goalkeeper Illan Meslier before Egzjan Alioski rattled the woodwork at the other end.
A string of saves by keeper Robin Olsen, who stood in for the injured Jordan Pickford, kept Everton in the driving seat and the visitors struck again in the 41st minute as Calvert-Lewin dived to head home at the far post.
Ings new contract imminent, Everton line up Khedira coup - Inside Football
Leeds pulled one back shortly after the break when Brazilian winger Raphinha side-footed past Olsen from 10 metres after Mason Holgate failed to clear the danger and the hosts then pegged Everton back.
The outstanding Olsen made four stunning saves in the space of 30 seconds midway through the second half as Everton ground out their fourth successive away win, bouncing back from Saturday's 2-0 home defeat by Newcastle United.
United prepare move for 'next Ronaldo' at Sporting - Euro Papers
Solskjaer: De Gea is the world's best
Everton's Richarlison out of West Ham clash with knee issue