Formed in 1990 and named after pressure defense in basketball (and some other team sports), Presing were, together with Darkwood Dub and Kanda, Kodža i Nebojša, representatives of the so-called NeoBeo sound, alternative, guitar-based rock music produced in Belgrade in the early 1990s.

[1] New York Press wrote about Presing: "It's a sound that kicks the pants off the recycle-rock of The Strokes, The Vines and the White Stripes, just to name a few... You can hear bits of the melodic era of The Fall (This Nation's Saving Grace through Frenz Experiment), some Nick Cave, some Neil Young–and even some P-Funk via Kraftwerk".

Highly artistic lyrics of Radović, performed in a rap manner, merged with harmonic and somewhat dissonant guitar tunes of Marković, thus creating a style of post-rock sound.

On Goršek's return, the band, with the new drummer Miladin Radivojević, a former Klajberi member, recorded their debut album Priča o totemu, duhu koji hoda, psu i razočaranoj ženi (The Story of Totem, a Ghost that Walks, a Dog and a Disappointed Woman), featuring elements of punk rock, funk and noise music.

During the same year, the tracks "Mačo", "Šurikeni" ("Sure-cans"), "Sve zvezde" ("All the Stars"), and "Ona vreba" ("She is Lurk"), appeared on the split album 3, also featuring Overdose and Kazna Za Uši.

[6] The band had a three-year break in its career, during which Marković formed the band Tornado Ptice, also featuring Vladislav Rac (of Kanda, Kodža i Nebojša) on bass guitar, Ognjenka Lakićević (later Autopark vocalist) on vocals, Predrag Ilić on drums, Nenad Pejović on the other guitar, Nebojša Mrđenović on cello and violinist Vladimir Nikolić, releasing the album Prozračno poslepodne (An airy afternoon) on Automatic Records.

[10] The following year, a former Trenje bassist Marko Grubačić "Gega", and E-Play drummer Damjan Dašić became the new band members, immediately starting a year and a half long recording sessions at the Master Blaster and Vesa studios for the third studio album, Zanos bez snova (Enchantment without Dreams),[11] combining a more subtle sound, featuring increased use of string sections of tango and modern classical music, with loud and dissonant guitar sound.

Guest appearances on the album featured Ivana Smolović (vocals), Dušan Petrović (saxophone), Milica Milojević (flute), Boris Krstajić (synthesizer), Marko Petronijević (trumpet, jaw harp) and Vladimir Nikolić (violin, viola).

[11] On March 30, 2007, the band held a farewell concert at the Belgrade Youth Center, featuring guest appearances by Aleksandar Jovan Krstić on flute and Jarboli member Daniel Kovač on acoustic guitar.

[14] In December 2011, the band reunited in the lineup which beside Marković and Radović featured a new bassist Dušan Zdravković, an upright bass graduate at the Norvegian Stanvager Music Academy, and the drummer Ernest Džananović, a Kristali member.