Striker, Leandro Damiao's header ensured Frontale defeated the UEFA Europa League holders 1-0. Lampard's men went into the match after defeating St Patrick's Athletic 4-1 last Saturday.
Chelsea ran out as 2-1 winners against Barcelona in a pre-season friendly on Tuesday. Tammy Abraham pounced on Jorginho's intercepted pass to go round Marc Ter-Stegen and make it 1-0 in the first half.
Tuchel will still have 29 players to choose from in the Blues squad. Tuchel's men will subsequently face Arsenal and Tottenham Hotspur on August 1 and 4, respectively.
Bayern Munich were confirmed as Bundesliga champions for the sixth consecutive season on Saturday as James Rodriguez helped turn the game in their 4-1 comeback victory at Augsburg.
United's 1-1 draw with Huddersfield last Sunday meant that the club will finish outside the top four and will compete in the Europa League next season.
Matic started in both the shocking 4-0 away hammering at Everton and the dismal 1-1 draw at relegated Huddersfield at the end of theseason "Of course, it hurt.
Madrid hammered their rivals 4-0 in the second leg of the semi-final to progress with a 4-1 aggregate. The cup exit follows eliminations from the Champions League and Europa League earlier this season.
Their last three have all also ended in defeat - at Liverpool in the second leg of their 2007/08 UEFA Champions League quarter-final (2-4) and in both legs of the following season's semi-final against Manchester United (0-1 away, 1-3 home).
Arsenal will play Barcelona in their last pre-season game on Sunday, August 4, before they take on Newcastle United in their first game of the Premier League.
The Nigerian has made a total of 92 tackles which is the most this season including 61 interceptions. Premier League's best midfielders this season ranked: 1. Kevin de Bruyne (Manchester City) 2. Jordan Henderson (Liverpool) 3.
Chelsea have taken the last spot among the seeded teams for the 2021/2022 Champions League group-stage draw. This follows their 1-0 win over Manchester City in this season's final on Saturday.
Dembele, who has been one of the most prolific strikers in the French Ligue 1 last season, had also drawn interest from Liverpool and Arsenal in recent weeks. The 22-year-old joined Lyon in a £19.7million deal from Celtic last summer.
The Spanish FA announced this in a post via its website. Meanwhile, Real Madrid won the Spanish Super Cup last season. Zinedine Zidane's side defeated Atletico Madrid 4-1 on penalties following a goalless draw.