Ken Holland, who was hired as general manager of Edmonton on May 7, 2019, was interested in bringing Puljujarvi back, despite the trade request he had made to the previous administration.
"[Holland] said he wanted me to be part of the team, that he exactly knew what kind of player I am, and then I just started feeling this may be a good time to come back and play in the best league in the world," Puljujarvi said.
Second chances became a theme, one he gave to the Oilers and to himself.
Jussi Jokinen, a forward for Karpat, knows a bit about the path Puljujarvi is traveling. He came over to the NHL from Finland as a 22-year-old in 2005-06 and scored 563 points (191 goals, 372 assists) in 951 NHL games with nine teams, including a short stint with Puljujarvi and the Oilers in 2017-18, before returning to Karpat at 35.
"I think he's mentally in a way better spot, way more ready to go in there," Jokinen said. "His English is way better and he's got all the tools to make a 15-year career there. He's smiling. He's playing well and with confidence."
By clearing the language barrier, which he did by utilizing English-speaking teammates at Karpat to maximum effect, Puljujarvi is now more capable of easily communicating with coaches and teammates, something that was missing the first time around.
"The coaches sat him here between me and Cody Kunyk, the other Canadian on our team, and we overloaded him with as much English as he could understand," said Heshka, who is from Melville, Saskatchewan. "And he had a Swedish roommate [Ludwig Bystrom] on the road who spoke only English with him."
Jokinen said aside from the language barrier, he believes Puljujarvi's self-esteem had been damaged by previous struggles in Edmonton.
Each of the players selected ahead of Puljujarvi in the 2016 draft found immediate success in the NHL. Auston Matthews of the Toronto Maple Leafs scored 40 goals as a rookie and won the Calder Memorial Trophy, Patrik Laine scored 36 goals in his first season with the Winnipeg Jets, and Pierre-Luc Dubois scored 109 points (47 goals, 62 assists) in his first two NHL seasons with the Columbus Blue Jackets.
"I think being a high pick and the other high picks making a name for themselves, and then him going to the minors and not really getting the chance, that was really hard for him," Jokinen said. "Lots of young players have those growing pains, and that was just Jesse's time to go through those growing pains and find his way.
"I don't think anybody was happy. The Oilers weren't happy, and I don't think Jesse was happy. For me, personally, I think he left (Finland) too early. I don't think he was ready to go, especially mentally. The time he spent with us, a year and a half, it was great for him. He got kind of mentally reloaded and I think he grew up a lot in that year and a half he was here."
Jokinen was also able to help prepare Puljujarvi for what to expect with Edmonton coach Dave Tippett, who was Jokinen's coach during his first three NHL seasons with the Dallas Stars.
"If you do the little things well and you deserve the ice time, he'll give you the ice time, but you had better earn his trust," Jokinen said. "I think that's what Jesse has done and it's looking good."