After displaying their character to seal a last-gasp win against Tunisia, England kept a cool head to deal with Panama's rough-house tactics in sweltering Nizhny Novgorod, emphatically adding the clinical edge Southgate had called for after Monday's game.
Despite the Central American team living up to their expected role of group whipping boys, the "football is coming home" chants came out in force following the game.
England coach Gareth Southgate thought that his men's performance was "ruthless" and expressed great satisfaction with the result of the match.
"I'm definitely sad about the final score but also happy that Panama scored their first goal in a World Cup, especially because it was a veteran like Felipe Baloy who scored the goal". Both goals against Tunisia came via corner routines, as did Stones' opener yesterday.
"Let's go and enjoy it again".
Southgate understands the hunger to find out his team as much as the importance for England to keep a broader perspective to prevent getting "really insular" and "defensive" about issues like the pictured training note.
Southgate will want to allow other players time on the pitch and to rest those who have played in both of England's group games so far.
The Three Lions controlled the game and had a third goal in the 36th minutes as Lingard made a right footed shot from outside the box to the top right corner and scored. Stones was able to lose his marker to head home an easy goal after just eight minutes into the game.
A peak TV audience of 14.1 million and a further 2.8m on live stream saw England book their place in the World Cup knockout stages - a share of 82.9 per cent.
"I'm not too sure what might happen in the draw later on, I'm not thinking that way".
Southgate's men have also scored the most goals in this tournament so far, equal with Russian Federation.
England won the game with the most goals the team have ever scored in a World Cup finals match.
The size of Panama's defeat in Nizhy Novgorod has left some hopeful that it could mean England could go on to win the tournament for the first time since 1966, with others remaining cautious.
We've got some of the best players in the world scoring goals, doing well.
Kane was dragged to the deck from a corner as they employed grappling techniques UFC fighters would be proud of, but Hernan Dario Gomez's side forgot to mark Stones and the Manchester City centre-back headed home his first worldwide goal. In the process, the Tottenham Hotspur striker matched his two illustrious predecessors - Geoff Hurst and Gary Lineker - who never had Panama for breakfast.
With their size and bulk as the only realistic advantage they had over the Europeans, Panama immediately made their intentions known as they were not afraid to create contact and clash with their opponents.
He also played a key role to help England in possession and on set-pieces, even when he didn't score.
Harry Kane praised his team-mates for the professional manner in which they dealt with Panama as they cruised to a 6-1 victory to qualify for the last 16.
The Three Lions went in five goals to the good at the interval and finished up 6-1 winners against lowly Panama.
In 1982, Hungary beat El Salvador 10-1; in 1974 Yugoslavia beat Congo 9-0 and in 1954, Hungary beat South Korea 9-0 as well.