KANSAS CITY, Mo. — Alex Smith dived for a touchdown on the first possession of overtime, completing the Kansas City Chiefs’ frantic rally from a 17-point fourth-quarter deficit to beat the San Diego Chargers 33-27 in their season opener Sunday.

Smith threw for 363 yards and two touchdowns, the second a back-shoulder fade to Jeremy Maclin with just over nine minutes left in the fourth quarter that trimmed the Chiefs’ deficit to 27-17.

Cairo Santos kicked a 33-yard field goal a few minutes later, and after forcing a three-and-out, Spencer Ware finished off a four-play drive with a touchdown plunge to knot it at 27.

Kansas City needed 10 plays to march 75 yards in overtime, and Smith finished off the biggest comeback in franchise history with his keeper from the 2-yard line on third-and-goal.

RAIDERS 35, SAINTS 34: Oakland gambled with a 2-point conversion that David Carr converted with a pass to Michael Crabtree for the winning points with 47 seconds left to help the Raiders win in New Orleans.

Carr hit Seth Roberts for a 10-yard touchdown setting up the gutsy call by second-year Raiders Coach Jack Del Rio.

GIANTS 29, COWBOYS 19: Eli Manning threw for three touchdowns, including the go-ahead score to Victor Cruz in his first game in nearly two years, and New York won in Arlington, Texas.

The Giants (1-0) won the debut of Coach Ben McAdoo after 12 years and two Super Bowl titles under Tom Coughlin while spoiling the first game for Dallas’ Dak Prescott and Ezekiel Elliott.

SEAHAWKS 12, DOLPHINS 10: Hobbled by an ankle injury, Russell Wilson pulled off another fourth-quarter comeback, throwing a 2-yard touchdown pass to Doug Baldwin with 31 seconds left, giving host Seattle a win over Miami.

Wilson hit Baldwin in the corner of the end zone to give Seattle the lead.

The extra point was partially blocked by Miami’s Jason Jones, but it didn’t matter.

BENGALS 23, JETS 22: Mike Nugent kicked a 47-yard field goal with 54 seconds left, lifting Cincinnati to a season-opening victory in East Rutherford, New Jersey.

Andy Dalton threw for 366 yards and a touchdown to A.J. Green, who caught 12 passes for 180 yards to help the Bengals beat the Jets for the first time in 10 meetings in New Jersey.

PACKERS 27, JAGUARS 23: Aaron Rodgers threw two touchdown passes and ran for another score, leading Green Bay to a victory in Jacksonville, Florida.

Rodgers looked every bit like, well, a two-time league MVP. He extended plays with his feet, escaped sacks and had precision accuracy all over the field.

He completed 20 of 34 passes for 199 yards, with TD passes to Jordy Nelson and Davante Adams. He was sacked once for no yards and didn’t turn it over.

VIKINGS 25, TITANS 16: Eric Kendricks returned an interception 77 yards for a touchdown late in the third quarter and Danielle Hunter scored a 24-yard TD off a fumble return and Minnesota beat Tennessee in Nashville, Tennessee.

The Vikings wound up forcing three turnovers in the span of just under seven minutes and also had two sacks.

BUCCANEERS 31, FALCONS 24: Jameis Winston bounced back from an early interception to throw four touchdown passes and Tampa Bay won in Atlanta.

Winston began his second year as a pro by going 23 of 33 for 281 yards, using just about every weapon at his disposal in the matchup between NFC South rivals.

EAGLES 29, BROWNS 10: Carson Wentz had 278 yards passing and two touchdowns in a stellar NFL debut and Philadelphia beat Robert Griffin III and Cleveland in Philadelphia.

Wentz played mistake-free football despite missing the last three preseason games with injured ribs. He finished 22 of 37 with a 101.0 passer rating.

LIONS 39, COLTS 35: Matthew Stafford took advantage of one last chance and Matt Prater redeemed himself with a 43-yard field goal with 8 seconds left to give Detroit a victory in Indianapolis.

Prater missed an extra point wide right with 4:04 left, a miscue that nearly cost the Lions.

RAVENS 13, BILLS 7: Baltimore used a touchdown pass by Joe Flacco, two field goals and a throwback defensive performance to win at home against Buffalo.

TEXANS 23, BEARS 14: Brock Osweiler threw for 231 yards and two touchdowns in his debut with Houston to lead the Texans and their revamped offense to a win over Chicago in Houston.