Conte was named as Mourinho’s permanent successor at Chelsea last summer before the Italian, managing in his first season in England, led the west London side to the top-flight title with a record-breaking 30 victories.
Mourinho this week insisted his Chelsea side that won the title in 2015 was more attacking than Conte’s team, with the Manchester United manager now claiming the Blues played negatively to win the title last term.
“We try to play the best we can,” Mourinho told reporters on Friday.
“We know that if you look in a pragmatic way, you see the last winners of the Premier League, the last winners of the Premier League, they did not play attacking football. They played defensive football and counter-attack football.
“So according to the results, that is the way to win the Premier League.”
United sit top of the Premier League standings going into this weekend’s round of matches following big wins against West Ham and Swansea and a 2-0 home victory against Leicester last Saturday.
The Red Devils have scored 10 goals and haven’t conceded once this season, although they now face a tough test when the club travel to face Stoke on Saturday evening.
In Pictures | Chelsea’s record-breaking 30 Premier League wins
1/30 Chelsea 2 West Ham 1
Diego Costa scores a late winner to earn Antonio Conte his first Premier League win.
2/30 Watford 1 Chelsea 2
Michy Batshuayi shines as the Blues secure another late win.
3/30 Chelsea 3 Burnley 0
Victor Moses caps off a comprehensive victory at Stamford Bridge.
4/30 Hull 0 Chelsea 2
Antonio Conte’s side recover from a poor run of results to beat Hull using their new 3-4-3 formation.
5/30 Chelsea 3 Leicester 0
Eden Hazard celebrates his goal either side of strikes from Diego Costa and Victor Moses.
6/30 Chelsea 4 Manchester United 0
The Blues humiliate Jose Mourinho on his return to Stamford Bridge with a stunning victory in west London.
7/30 Southampton 0 Chelsea 2
The Blues’ winning run goes on with victory at St Mary’s Stadium.
8/30 Chelsea 5 Everton 0
Antonio Conte’s switch to the 3-4-3 system continues to pay off – with his team thrashing the Toffees.
9/30 Middlesbrough 0 Chelsea 1
Antonio Conte celebrates with Diego Costa at full-time after the striker’s 41st-minute goal is enough to secure all three points at the Riverside Stadium.
10/30 Chelsea 2 Tottenham 1
Pedro and Victor Moses are on target as the Blues beat their London rivals despite going behind to Christian Eriksen’s opener.
11/30 Manchester City 1 Chelsea 3
The Blues complete another superb comeback which is capped off by Eden Hazard’s 90th-minute goal at the Etihad Stadium.
12/30 Chelsea 1 West Brom 0
Diego Costa nets the only goal in the 76th minute against a stubborn Baggies side.
13/30 Sunderland 0 Chelsea 1
Cesc Fabregas gets the breakthrough at the Stadium of Light just before half-time.
14/30 Crystal Palace 0 Chelsea 1
Diego Costa heads in the winner to secure another narrow victory for the Premier League leaders.
15/30 Chelsea 3 Bournemouth 0
The Blues secure a comfortable win over the Cherries at Stamford Bridge on Boxing Day.
16/30 Chelsea 4 Stoke 2
After a run of clean sheets, New Year’s Eve sees Antonio Conte’s side let in two at Stamford Bridge.
17/30 Leicester 0 Chelsea 3
Marcos Alonso celebrates his brace at the King Power Stadium.
18/30 Chelsea 2 Hull 0
Gary Cahill adds gloss onto another win in west London.
19/30 Chelsea 3 Arsenal 1
Marcos Alonso opens the scoring in the London derby before Eden Hazard and Cesc Fabregas add further goals.
20/30 Chelsea 3 Swansea 1
The Blues survive a scare following Fernando Llorente’s equaliser by beating the Swans.
21/30 West Ham 1 Chelsea 2
Antonio Conte’s side exact revenge on the Hammers for their EFL Cup win at the London Stadium earlier in the season by beating them in east London.
West Ham United via Getty Images
22/30 Stoke 1 Chelsea 2
Willian and Gary Cahill are on target as the Blues leave it until the 87th minute to beat the Potters.
23/30 Chelsea 2 Manchester City 1
Antonio Conte’s side react to losing to Crystal Palace at Stamford Bridge by seeing off Pep Guardiola’s side.
24/30 Bournemouth 1 Chelsea 3
Marcos Alonso nets another goal at the Vitality Stadium.
25/30 Chelsea 4 Southampton 2
Diego Costa bags a brace as the Blues march toward the title.
26/30 Everton 0 Chelsea 3
In what is seen as a big test of their title credentials, the Blues win at Goodison Park thanks to Pedro’s stunning opener.
27/30 Chelsea 3 Middlesbrough:
The hosts condemn Boro to relegation as they move to within one win of the title.
28/30 West Brom 0 Chelsea 1
Michy Batshuayi’s 82nd-minute winner hands Antonio Conte’s side the Premier League title.
29/30 Chelsea 4 Watford 3
Despite a much-changed line-up, the Blues see off the Hornets in a seven-goal thriller.
30/30 Chelsea 5 Sunderland 1
Stamford Bridge said farewell to John Terry as Chelsea finished the season in style.
While admitting there is a time and a place for defensive football, Mourinho insisted he always sets up his team to play in an attacking manner.
He added: “We try to play according to the qualities of our players. We try to play positive, we try to play good, but we try to win.
“If one day to win we have to play defensive football, we have to do it. And if we go to Stoke and Stoke in some moments of the match, they put us under pressure and they are dominant, we have to be humble and we have to be pragmatic and we have to face the reality.”