The Toffees were wasteful going forward during a 1-0 defeat against Liverpool's youngsters in the FA Cup last weekend, while Brighton were also dumped out of the competition following a 1-0 loss to Sheffield Wednesday.
Everton's players will know that they wasted their greatest chance to record a victory at Anfield in years by faltering against Jurgen Klopp's band of teenagers last weekend.
The Everton manager will hope that last weekend's loss was more down to a psychological block - they have not won at Anfield since 1999 - as opposed to any technical shortcomings.
After all, prior to that defeat, the club recorded a pair of victories over Burnley and Newcastle United ahead of battling impressively away at Manchester City.
As they return to Goodison Park to face the Seagulls, Everton supporters will expect their team to play with much more panache and zip compared with what they displayed at Anfield last time out.
While Everton have oscillated between extremes this season, Brighton's results under new boss Graham Potter have largely reflected their previous two years in the Premier League.
Sitting 14th in the table, four points above the relegation zone, the Seagulls rarely dazzle with their football but also hardly ever fall below a particular level of performance.
They have proven to be tricky opponents for the big clubs, beating Tottenham Hotspur and Arsenal in convincing fashion while also holding Chelsea to a draw over the Christmas period.
With a core group including the likes of Davy Propper, Lewis Dunk and Pascal Gross as well as exciting young talents such as Neal Maupay and Aaron Connolly, there is enough in this team to suggest that they are capable of avoiding the drop this season.
That said, Potter must be conscious of the club's poor away form - just two wins from 10 outings - and will view Saturday's game, against an unpredictable Everton side, as an excellent chance to impress on the road.
Everton Premier League form: WDDWWL
Everton form (all competitions): LDWWLL
Brighton & Hove Albion Premier League form: DDLLWD
Brighton & Hove Albion form (all competitions): DLLWDL
For Everton, Andre Gomes remains the club's only long-term absentee after breaking his ankle against Spurs in November.
Leon Balogun, who has a thigh injury, is the club's only long-term absentee, with no timescale yet available on when he may return.
Everton possible starting lineup:
Pickford; Coleman, Mina, Holgate; Sidibe, Schneiderlin, Delph, Digne; Walcott, Richarlison, Calvert-Lewin
Brighton & Hove Albion possible starting lineup:
Ryan; Montoya, Webster, Dunk, Burn; Propper, Alzate, Gross, Mooy; Connolly, Maupay
We say: Everton 1-1 Brighton & Hove Albion
This promises to be a cagey affair, with the home team expected to put on a performance and the away side set to remain solid and wait for their moment. Everton are likely to make more of the running, but there is a feeling that Brighton will find a way of staying in the game and snatching a goal of their own.