Stefan de Vrij could snub Inter, Juventus and Manchester United by signing a new contract with Lazio on Monday.
His current deal is due to expire in June and he would be allowed to leave as a free agent at the end of this season.
That had seemed increasingly likely, as Lazio would not listen to January offers, confident they could talk him around.
According to La Gazzetta dello Sport, the approach has worked, because De Vrij could put pen to paper on a new contract when he returns from vacation on Monday.
The 25-year-old Dutch international would have an increased salary to €2.5m per year plus bonuses.
Above all, the release clause would be reduced from €25m to just €20m.