Everton have played Újpest 2 times in competitive football, winning 1, drawing 0 and losing 1, first meeting on 3 Nov 1965 and most recently on 16 Nov 1965. Every meeting is listed below.
| Date | Season | Competition | Venue | Opponent | Score | Scorers | Att |
|---|---|---|---|---|---|---|---|
| 3 Nov 1965 | 1965–66 | Fairs Cup | A | Újpest | 0–3 | ||
| 16 Nov 1965 | 1965–66 | Fairs Cup | H | Újpest | 2–1 |