The 29-year-old has spent his entire 13-year professional career with the Phoenix, making 189 A-League appearances, but is weighing up what comes next.
The Phoenix have missed the finals for the past two seasons and will have a new coach in 2026-27, with club stalwart Chris Greenacre taking charge after his interim spell.
The club are desperate to keep Rufer but any decision on his future is likely to wait until after the World Cup.
For now, his focus is on New Zealand’s pre-tournament camp in Florida and pushing for midfield minutes in their Group G opener against Iran in Los Angeles on June 16 (NZT).
“I’m in open talks with the club on an extension, but I’ve been very, very honest – and so have they,” Rufer said.
“I feel like with my time at the Phoenix, I’ve given absolutely everything and I feel like I’ve earned the right to potentially see what else is out there. That’s not to say that I won’t stay, but I’ve become a father in the last year as well and I’ve got to think about a lot of things.
“We’ll see what happens but my first and only focus is to get over to Miami, train as hard as possible and try to play and make my country proud, make my family proud – and my agents will take care of the rest.”