[3][4] In the 90s he experiments world music with the discs of the time trilogy, which began with Oltre (1990) considered his masterpiece,[5][6] continued with one of the best-selling albums ever in Italy Io sono qui (1995) and ended with Viaggiatore sulla coda del tempo (1999).

[7][8][9] Also an innovator in the field of live performances, Baglioni achieved over a million total spectators with the tours Alé Oó in 1982 and Notti di note in 1985.

[11] In 1991 he was the first artist in the world to realize a concert with the stage in the centre, awarded by the magazine Billboard as «the best concert in the world»,[12] on 6 June 1998, again with the same concept of the stage in the centre, he set the record for attendance at a higher event ever; 100,000 spectators at the Olympic stadium in Rome,[13] in 2000 he will perform in St. Peter's Square in the Vatican City in the presence of 300,000 people including the Pope.

In June of the same year (1982) Claudio at the age of 31 becomes a father and in one day writes the worldwide hit song Avrai dedicated to his son.

[18] The overwhelming success of the album kicks off another big tour the following year; Assolo a sensational tour consisting of over 30 concerts in the great stadiums of Italy where Claudio Baglioni performs completely alone, without a band, with the help of classical and electric guitar, pianola, piano, synthesizer and MIDI, a technology never tested at the time.

[21] In 1992 the tour Oltre il concerto began, held in palasport with the stage in the centre, marking the return of Baglioni throughout Italy, with over 50 dates it was a huge success.

The album is structured as if it were a film with a beginning, an end, the interlude and then the first, second, third and fourth time which anticipate the subsequent songs by describing them as cinematic scenes.

[29] Baglioni will subsequently declare that the three albums (Oltre, Io sono qui and Viaggiatore sulla coda del tempo) make up a trilogy of time where each represents the past, present and future respectively.

The tour that follows this album made between January and March 2000, called Tour Blu, it is characterized by a futuristic cut like the 1999 album with projection screens and laser lights, the concerts began with a sort of three-dimensional hologram that had the appearance of a robotic face named Claud; an alter ego of the artist who announced that he came from the future and appeared between one song and another to tell his story accompanied by thoughts and messages from the future, the virtual image mentions that as long as his music is listened to the traveler will not he will have left in vain.

In 2005 his first official collection Tutti qui was released which soon became a commercial success and from which the tour which lasted from 2006 to 2007 began in palasport with the stage at the centre.

In 2019, to celebrate 50 years of career, he realizes an incredible concert at the Verona Arena which for the first time is open to the public in its entirety.