Van Dijk had been expected to become the first Premier-League based player to scoop the Federation Internationale de Football Association prize since Cristiano Ronaldo won it when playing for Manchester United in 2009.
"It's just the start, but we have to respond now", Messi said.
"This award represents the efforts of our entire team and I sincerely thank the players and all the staff for their dedication and expertise", she said.
Lionel Scaloni said Lionel Messi was a deserving victor of The Best FIFA Men's Player award and can maintain that level as long as he wants.
Daniel Zsori has done just that by winning the 2019 edition of Fifa's Puskas Award, given in recognition of scoring the best goal in a calendar year.
However, Ronaldo did not even include Messi in his top three, instead voting tactically for Juventus teammate Matthijs de Ligt, before De Jong and Kylian Mbappe.
Behind the scenes, Jurgen Klopp claimed the best manager award, as the German won out over fellow Premier League managers, Manchester City rival Pep Guardiola and Tottenham's Mauricio Pochettino.
The World Cup victor also said the fact that the women's awards were announced after those of the men were a sign of progress.
"We've shared the stage for 15 years, me and him".
Messi is clear that he has two main aims for the 2019/20 season: to win the Champions League with Barcelona before lifting the Copa America with Argentina in the summer, which will be hosted in Argentina and Colombia.
It's quite surreal to be honest, I've never been to [The Best FIFA Football Awards], and I'm quite old for it to be my first one!
The 18-year-old forward, on his debut, scored a spectacular overhead kick to win the game for his side Debrecen against Ferencvaros in stoppage time. "He has the potential to be a very important player but we have to help him". "I love it because she does utilise her platform and provokes people to look really hard at things we can influence and change in the world that we are in".