His second album Tempo (1996) continued the success and confirmed Abrunhosa's status as a major artist in the Portuguese music industry.

In 1984, he went to Madrid to study with double-bass player Todd Coolman and with musicians Joe Hunt, Wallace Rooney, Gerry Niewood and Steve Brown.

In that same year, he finished the General Course of Composition in the "Conservatório de Música do Porto" and started studying double-bass with Alejandro Erlich Oliva.

In 1985, returning to Spain, he took part in the International Jazz Seminar, and worked again with Todd Coolman, Billy Hart, Bill Dobbins, David Schnitter, Jack Walrath and Steve Brown.

In 1986, he returned to Spain to participate in the third International Jazz Seminar in Seville where he played with Bob Moses, Chip Jackson, Brad Hartfield, Hoku Kim and Stan Strickland.

He also participated in two other Jazz Seminars with Danish saxophonist John Tchicai and bassist Peter Danstrup and the American musicians Paul Motian, Bill Frisell, and Joe Lovano.

Later on, he joined Boulou Ferré, Ramon Cardo, Frankie Rose, Vicent Penasse and Tommy Halferty and extensively toured Portugal and throughout Europe.

He also composed the music for the theatrical pieces "Possessos de Amor", "A Teia", and "O Aniversário da Infanta" (Oscar Wilde).

[2] With Viagens, Abrunhosa became "the fastest-selling artist in Portuguese record-industry history";[4] between October 1994 and January 1995, he performed in over 120 concerts across Portugal, with the estimated total audience surpassing 200,000.

In 1995, Abrunhosa was heavily involved in the protests against the sale of one of the most emblematic concert venues in Portugal, Coliseu do Porto, to the Universal Church of the Kingdom of God.

The final mixing process, as well as a substantial portion of the rhythm and voice recording were supervised by Tom Tucker, technical director of Paisley Park and chief engineer on Prince's latest albums.

He was later invited to participate in the Manuel de Oliveira film, La Lettre (The Letter), together with Chiara Mastroianni and Françoise Fabian, where he played the leading role.

[15] He produced his third album of originals Silence, finished in November 1999, which includes the presence of Caetano Veloso's percussionists, Nina Miranda (of Smoke City) and the strings section usually used by Radiohead and dEUS.

In 1999, he gave a number of lectures throughout Portugal, mostly in libraries, schools, and universities, on topics related to artistic production and creation, literature, music and cinema.

Manoel de Oliveira, the famous Portuguese director, directed the short film "Momento", as a video for the first single and title track off the album.

Pedro Abrunhosa released the album in Brazil through Universal, with the participation of local artists such as Zélia Duncan, Lenine, Sandra de Sá, and Adriana Calcanhoto.

(His songs are performed in Brazil by a number of artists such as Elba Ramalho, Zeca Baleiro, Sandra Sá, and Rio Soul or Syang, among others.)