Giovanni van Bronckhorst claimed the scoreline did not offer a true reflection of Rangers' performance after they succumbed to a 3-0 Champions League defeat at home to Napoli.
Second-half goals from Matteo Politano, Giacomo Raspadori and Tanguy Ndombele condemned Rangers to a third consecutive defeat on Wednesday after James Sands was dismissed for two bookable offences.
The defeat could have been heavier had Allan McGregor not twice denied Piotr Zielinski from the penalty spot following a VAR check for encroachment.
Politano then tucked away his opener from 12 yards, as Napoli became just the third side to be awarded multiple penalties in back-to-back Champions League fixtures (after Chelsea in 2020 and Salzburg in 2021).
Despite Rangers' defensive shortcomings, Van Bronckhorst believes they competed well before being reduced to 10 men.
"I think we were well organised, we were good in the game, the players were giving everything to get a good result," he said.
"It was a nice battle to see, Napoli against Rangers, but of course with the sending off you knew it was going to be difficult.
"Allan saved us twice with the penalties, which was fantastic, but the first goal we conceded made me change the way we were playing because we needed to attack.
"In the end I think the 3-0 defeat didn't reflect the difference in quality today and how the game went on."
This is just the second time Rangers have begun a Champions League group-stage campaign with back-to-back defeats, also doing so in 1996-97 under Walter Smith.
But Van Bronckhorst saw a clear improvement following last week's 4-0 thrashing at the hands of Ajax, adding: "We will learn with every single game we play in the Champions League, if you see the comparison between the first game against Ajax and today, I think we played so much better, with so much intensity, so much character.
"I think we learned from the game last week, the level, the speed of thinking needs to go up. I think we equalled that today when 11 against 11.
"The quality Napoli has with one extra, it was very difficult for us. We wanted to stay in the game longer but the first goal made us change the personnel. You have to always end with 11 in Europe, otherwise it's a difficult task."
Rangers are also five points adrift of rivals Celtic at the top of the Scottish Premiership table, having slipped to a 3-0 defeat in the first Old Firm derby of the campaign earlier this month.
Despite being impressed with their performance against Napoli, Van Bronckhorst knows they must arrest their slide quickly, adding: "Of course, you're always concerned when you concede too many goals, but every defeat is a defeat.
"The manner of the defeat today was different to the first two defeats. But in the end, it's still a defeat, and we cannot accept three defeats in a row."
Rybakina wins 12th straight to reach Miami Open semi-finals, Pegula beats Potapova
Elena Rybakina is now two wins away from completing the rare 'Sunshine Double' after defeating Martina Trevisan 6-3 6-0 to reach the Miami Open semi-finals on Tuesday.
Only four women have ever claimed the Sunshine Double – which requires winning both the Indian Wells Open and Miami Open. Steffi Graf did it in both 1994 and 1996, Kim Clijsters did it in 2005, Victoria Azarenka accomplished the feat in 2016 and current world number one Iga Swiatek did it just 12 months ago.
Rybakina knocked off Swiatek and world number two Aryna Sabalenka in consecutive matches en route to the Indian Wells title, and she has now extended her winning streak to 12 with Tuesday's victory. Against Trevisan, Rybakina served another 10 aces compared to zero from the Italian.
In her fourth-round match the Kazakhstan representative became the first WTA player this season to post three consecutive matches with at least 10 aces, and with another she became the first woman since Serena Williams at the 2020 US Open to do so in four consecutive matches at the same tournament.
She needed just 27 minutes to race through the second set, and in the process she booked a semi-final against third seed Jessica Pegula.
America's top hope, Pegula had to come from behind against Russia's Anastasia Potapova in the 4-6 6-3 7-6 (7-2) result, saving two match points in the deciding set to force the pivotal tiebreaker.
The match was delayed for hours due to persistent rain, and the contest lasted two hours and 38 minutes, meaning they did not finish up on court until nearly 1:30am local time.
While consistently making it deep into major tournaments, Pegula only has two WTA singles titles to her name, and only once since the end of 2019.
With one more win she can book her spot in the final, and a chance to claim her second WTA 1000 crown after breaking through at the 2022 Guadalajara Open.
Messi hopes the 'craziness never ends' after 100th international goal and wild celebrations
Lionel Messi hopes the "craziness never ends" after scoring his 100th goal and ninth hat-trick for his country amid Argentina's homecoming World Cup celebrations on Tuesday.
La Albiceleste routed Curacao 7-0 in Santiago del Estero, with Messi's 20th-minute opener bringing up his 100th international goal, joining only Cristiano Ronaldo (122) and Ali Daei (109) in achieving that feat.
Messi became the first world champion to score 100 international goals, and he showed no signs of stopping there with further first-half strikes for a treble, taking him to 102.
The milestone came as Argentina rounded out their first two games back in their homeland since December's World Cup triumph with wild celebrations, initially in Buenos Aires for Thursday's 2-0 win over Panama.
The players emulated their celebrations from Qatar after the Curacao game, hoisting the World Cup trophy again after it came down from the stadium roof and doing a lap of honour to greet the supporters.
Messi was also presented with a plaque by Argentine Football Association president Claudio Tapia to acknowledge his 100th goal.
"What a nice way to close these dates, impressive today all the people in Santiago del Estero," Messi wrote on Instagram.
"I wish we can continue to share together many moments like these and that this craziness never ends!!!"
Messi's achievement comes after netting 21 goals in his 14 games for Argentina, along with seven assists. That has taken him to 156 goal contributions, which is the most in international football.
Argentina head coach Lionel Scaloni added: "As for Lionel Messi, what I want is for him to be on the pitch and be happy."
He added: "These days were different to the previous friendlies because the players were allowed to be with their people.
"We felt that they had that desire to go out to contact the outside, although that meant that it was difficult to prepare these two games. But in the end we got them through by playing with intensity."
Argentina 7-0 Curacao: Messi caps 100th international goal with first-half hat-trick
Lionel Messi scored his 100th international goal before capping his performance with a first-half hat-trick as Argentina routed Curacao 7-0 during Tuesday's friendly in Santiago del Estero.
Messi came into the game on 99 international goals but did not need to wait long to bring up triple figures, netting a 20th-minute opener, in a lopsided match-up where the world champions raced to a 5-0 half-time lead.
The Argentinian captain played the entire 90 minutes, scoring three goals within 17 devastating first-half minutes, while he also laid off the assist for Enzo Fernandez's powerful strike among the flurry.
Messi was denied early on by Curacao goalkeeper Eloy Room's sharp save, but soon after Giovani Lo Celso found him in space inside the box, setting him up to jink past two defenders and fire in a low right-foot shot for his 100th Argentina goal.
Nicolas Gonzalez added a second in the 23rd minute when he out-jumped Room to head home from a corner, before he played provider for Messi's second with a neat left-foot finish in the 33rd minute.
Two minutes later, Messi held up the ball and dished out a deft pass for Fernandez to lash home, with the Paris Saint-Germain star wrapping up his hat-trick when he raced on to Lo Celso's lofted pass and coolly converted after taking two touches.
Room brilliantly denied Lautaro Martinez twice early in the second half, while Leandro Bacuna fizzed Curacao's best chance over the bar from a 63rd-minute free-kick on the edge of the box.
Substitute Angel Di Maria added a sixth goal from the penalty spot in the 78th minute after Cuco Martina's handball, with Gonzalo Montiel side-footing home another from Paulo Dybala's cutback in the 88th minute.
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