Pulis has taken the Eagles from relegation favourites to challenging for a spot in the top half of the Premier League since his arrival in November.
Yet despite being handed a two-and-a-half-year deal at that stage, the former Stoke City boss raised doubts over his longevity in the role on Friday by suggesting that "you can never guarantee I will be here next season".
Chairman Steve Parish moved to quash those suggestions on Monday, prior to the six-goal thriller with Liverpool. When asked if Pulis would still be at the helm, he told Sky Sports: "Absolutely. Tony's contracted here for two more years.
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After watching his side earn an unlikely point that severely dented Liverpool's title challenge, Pulis stopped short of guaranteeing his future but confirmed that those talks would take place, saying: "Me and Steve are having a chat on either Wednesday or Thursday.
"The club is fantastic, has fantastic supporters and potential but it's a way behind what it should be."
The comments ironically came after a performance that was a microcosm of Pulis's tenure, with Dwight Gayle's double adding to Damien Delaney's deflected strike to earn an unlikely point after goals from Joe Allen, Daniel Sturridge and Luis Suarez had put Liverpool 3-0 up at Selhurst Park.
"The last 20 minutes were absolutely fantastic and I think it just shows the character of the players," added the Palace boss. "It just summed our season up."