Matt D'Agostini of the Blues tied the game at 3 with a power-play goal with 7:30 left in the third period.
Bulmer replaced Brad Staubitz, who will miss the rest of the preseason and the first three regular season games after being suspended by the NHL for his boarding major against Columbus on Friday.
Boyce's goal 1:35 into the third gave Toronto its first lead, 4-3. Grabovski set up MacArthur's goal for his third point with 1:57 remaining. He also scored a short-handed goal 14:31 in to help Toronto overcome a 2-0 deficit and assisted on Nikolai Kulemin's tally, which drew Toronto even at 3 at 12:05 of the second.
Nick Foligno's goal 18:32 into the first put Ottawa up 3-2. Mika Zibanejad and Zack Smith also scored for the Senators (2-3-1) as the provincial rivals combined for five goals in the second half of the opening period.
KANSAS CITY, Mo. (AP) - Matt Niskanen scored in the eighth round of the shootout to lift Pittsburgh past Los Angeles.
Los Angeles defenseman Alec Martinez tied the game at 2-2 with a power-play goal at 13:43 of the third.
Bernier finished with 39 saves and Fleury had 19.
Jarret Stoll opened the scoring for the Kings at 4:31 of the first period.
SUNRISE, Fla. (AP) - Michael Ryder scored 1:11 into overtime to give Dallas a victory over Florida.
The teams will meet again Thursday night in Dallas.
Kari Lehtonen made 43 saves for the Stars. Jakob Markstrom and Tyler Plante, who are competing for the backup goalie job with veteran Scott Clemmensen out 4 to 6 weeks after undergoing knee surgery, split the game for Florida.
In his first game in an Islanders uniform, veteran goalie Evgeni Nabokov stopped 15 of 16 shots in two periods.
The 36-year-old refused to play for New York last season after the Islanders claimed him late in the year off NHL re-entry waivers, thwarting the Detroit Red Wings' attempt to sign him.
Hall had two goals and Nugent-Hopkins scored the other for the Oilers, who improved to 4-2-0 in exhibition games.