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Presumably taking into account every recognised* A-international match, the top 3 are:
1) Brazil (+1,232)
2) England (+1,167)
3) South Korea (+1,018)
Other notable takeaways from this include Luxembourg in last place with -1,133, Bermuda being the only nation to have a historical goal difference of 0, and Tahiti having the world's best goals-per-game ratio (3). Although aside from Bermuda, not too much that's very surprising when you consider factors such as how long a national team's been going for (Luxembourg) or their more frequent level of opposition (Tahiti).