Co-hosts Ukraine got off to a fine start, while England and France drew
Andriy Shevchenko top scored on day four with a brace, for six Fantasy League points, as Ukraine came from behind to beat Sweden 2-1.
It was the moment all of Ukraine had been dreaming of since they won the bid to host the tournament, as their national hero got them off to the perfect start.
Wingers Andriy Yarmolenko and Yevhen Konoplyanka earned two points apiece for assisting, both with crosses which Shevchenko clinically despatched with his head.
Sweden had taken the lead just after half time when Zlatan Ibrahimovic side-footed in Kim Kallstrom's low cross.
In the day's early game, England and France played out a 1-1 draw in Donetsk.
Joleon Lescott powerfully headed in Steven Gerrard's free-kick to give England the lead, with the pair earning three and two Fantasy League points respectively.
But Samir Nasri levelled for France nine minutes later when he drove in a low shot after a lay-off by Franck Ribery.