It could be a busy week at McDiarmid Park, with four St Johnstone players close to agreeing new deals.
Courier Sport understands that Murray Davidson, Steven Anderson, Scott Tanser and Blair Alston are all likely to sign fresh contracts.
Meanwhile, Hearts keeper Jack Hamilton has been identified as a potential replacement for Alan Mannus.
Hamilton is under contract and Tynecastle sources suggest that talks between the clubs have begun.
Meanwhile, Wright wants to see his team sort out their “lapses of concentration” before the season finishes.
“We have dropped four points in the last two games in similar circumstances,” he said. “Lapses of concentration have been costly.
“Liam (Craig) shouldn’t have stuck his leg out because that made it easy for the referee to give the penalty.
“But if you don’t win the first header from the free-kick you have to win the second ball and we didn’t do either.
“Is it a lack of concentration? Is it lack of organisation in the heat of the moment? It’s probably a combination of the two factors. Let’s hope we get it right over the last three games.
“We have picked up wins when we have done the basics right and defended well.
“Partick are fighting for their lives but they didn’t really lay a glove on us.
“We had a few good performances. Jason Kerr continues to grow in stature, Zander Clark dominated his box, Scott Tanser is growing in confidence with every game and it was probably Matty Willock’s best game for us. David Wotherspon was good in a deeper role.”
Another year in the top flight means the current Saints team are closing in on the club record of 13.
Wright said: “We got the point which means we stay in the league and that means we are going into a 10th season at the top level.
“That is huge credit to everyone who has been involved with the club over that period, not just this season.
“It is some achievement for a club of our size.
“A good side like Thistle finished top six last season but they find themselves trying to get out of that play-off place at the minute. That underlines how well this club has done year after year in terms of consistency.
“It has been a long season for us after a short turnaround for Europe. It has been difficult at times but there are positives in what has been a mixed campaign.
“Hopefully we can gather enough points over the last three games to secure that seventh place.
Steven MacLean has one game left as a St Johnstone player – at Motherwell on Saturday.
“It is disappointing for Macca after his weekend booking but he is a player who always plays on the edge,” said Wright.
“He won’t play at Hamilton and misses the final home game with Ross County so Motherwell this weekend is his swansong.”
Wright added: “Stefan Scougall took a wee knock on his ankle and missed Saturday. Murray Davidson is back from suspension this weekend. David McMillan will get some hard training under his belt this week and should take part in the Motherwell game.”
