Šnobel played his first tournaments on the professional tour in 1998. At the beginning he was mainly on the ITF Future Tour , where he won his first single and double title in 2000. With further semi-finals and finals, he steadily improved in the world rankings , so that at the end of the year he finished 351st in singles and 506th in doubles. Due to his placement, he took part more and more often in tournaments of the higher endowed ATP Challenger Tour in the following year , where he reached the finals in the individual.
In 2003, in Metz , Šnobel qualified for the individual field and thus made his debut on the ATP World Tour . In the first round, the number 88 in the world Victor Hănescu was too strong for him and he was eliminated in the first round. A year later he improved his ranking by more than 150 places thanks to good results on the Challenger Tour and he made it into the top 200 in both singles and doubles. He also celebrated his first challenger title in Buxoro in doubles . 2005 was his most successful year on the Challenger Tour. In doubles he won five of his ten titles and in February 2006 he reached 110th place, his career best. In the individual, he qualified for the first time for the main field in a Grand Slam tournament at the Australian Open in 2006 . In the first round he was defeated by the Dutchman Raemon Sluiter in four sets. On the Challenger Tour he was in another final, but lost it. He was more successful in doubles and celebrated two more titles in Ostrava and Košice . In addition, he was with Tomáš Cakl as Lucky Loser in Wimbledon in the double field, where they lost their opening match against Łukasz Kubot and Tomáš Zíb .
In 2007 he won his first individual title on the Challenger Tour in Ho Chi Minh City . At the Summer Universiade 2007 in Bangkok he won the gold medal in mixed doubles alongside Eva Hrdinová against the Russian pairing Alissa Kleibanowa and Alexander Krasnoruzki . In 2008 he won a further challenger title in the Uzbek cities of Fargʻona in singles and Tashkent in doubles. At Wimbledon he qualified for the main draw in the singles and was defeated by the Argentinian Juan Martín del Potro in his opening game . In February 2009 he achieved his best individual placement with 154th place. After he was only in one of the Challenger semi-finals in the individual, he slipped in the world rankings and stayed in the top 500. 2010 was his last full season that he played, followed by a few appearances in the following years before moving to 2014 finally ended his career.
Czech Republic
Ho Chi Minh City
Farrux Do'stov
George Bastl
Michal Mertiňák
Paul Logtens Melle van Gemerden
Lübeck
Kyoto
Mexico city
Marcos Daniel Flávio Saretta
Cardiff
Paul Baccanello Wesley Moodie
Flavio Cipolla
Mikhail Yelgin Alexander Kudryavzew