In the second period Jordan Greenway, the first African American to play for the US men's Olympic hockey team, tapped in a puck that popped loose from a scrum in front of Kroselj.
Slovenia, ranked 15th by the International Ice Hockey Federation, got on the board in the third period when Blaz Gregorc threaded a wrist shot through a crowd in front of US goalkeeper Ryan Zapolski.
Even though Team USA led 2-0 heading into the third period, Slovenia powered back to tie the game with fewer than two minutes remaining in the final period.
But a goal by Mursak, who slipped the puck slip a puck past USA goaltender Ryan Zapolski with one minute, 37 seconds left to tie the game and force overtime. They have not played a single exhibition game together.More news: Internet visionary and EFF co-founder John Perry Barlow dies
Team USA still gains a point in the standings by making it to overtime.
The Olympic hockey tournament is being played without NHL players for the first time since the Lillehammer Games in 1994 after the league and International Olympic Committee failed to agree on players' travel and insurance costs. All 12 teams advance to the single-elimination portion of the tournament, but group play determines seeding; the victor of each group, plus the highest ranking runner-up, earn a first-round bye. The final game in group play is Saturday against the team from Russian Federation.
Slovenia captain Jan Mursak, a former draft pick of the Detroit Red Wings, scored that tying goal. He scored one goal in 19 games. Team USA had to kill off a two-minute penalty with less than 10 minutes left. It's 2-2 after the first period.
Greenway corralled a loose puck on the side of the goal, had an open net and buried it. Even though the USA holds an 11-4 shot total, Slovenia skated with them much of the period and, lest we forget, this one could be tied right now. He collected a keepsake in the second period with a goal that gave Team USA a 2-0 lead.