After L'ubica Vargicová's debut with the Salzburg Festival in 2003 as Olympia in Les Contes d'Hoffmann, she was hailed for her pinpoint coloratura technique, her glittering high notes and the sweetness of her timbre, combined with a commanding presence on stage. A little bit more than a year later, at her debut with the Metropolitan Opera in a new production of The Magic Flute under James Levine, the New York Times wrote: "in her Met debut, the Slovak soprano L'ubica Vargicová dispatched the Queen of the Night's devilish coloratura with fearless attack, bright tone and impressive accuracy."

She graduated from Bratislava's University for Dramatic Arts in 1993, a student of Vlasta Hudecová. Already 4 years before that she was betrusted with soloist roles at the Slovak National Theatre making a stunning debut as Queen of the Night in Mozart's The Magic Flute and following up with the title part in Verdi's La Traviata and Olympia in Les Contes d'Hoffmann and more recently Gilda in Rigoletto, Amina in La Sonnambula, Norina in Don Pasquale, Konstanze in The Abduction from the Seraglio, Lucia in Lucia di Lammermoor and Ophélie in Hamlet. She toured with the company in Germany, Luxembourg, Switzerland (Lucia) and France (Olympia).

L'ubica Vargicová participated in opera galas in Munich in 1992 and 1993. In Tokyo she has been a regular guest in opera and concert since 1998 and starred as Violetta and Lucia at the Opera Company in Berne.

In 2001 she made her highly acclaimed debut with the Vienna State Opera as Gilda in Verdi's Rigoletto and returned afterwards in 2002 and 2003 as Amina in La Sonnambula. She has also been a regular guest at the Stavovenske Divadlo (recently Queen of the Night) and with the Hungarian State Opera (Lucia, Gilda, Violetta). In 2003 she sang concerts with Leo Nucci in Prague and with the Bamberg Symphony Orchestra under Roberto Paternostro.

Recent engagements include her debut as Marie in Donizetti's La Fille du Regiment in Bratislava and in Lima/Peru, alongside Juan Diego Floréz, her debuts with the Metropolitan Opera as well as with the State Opera in Munich and the Deutsche Oper Berlin. She starred again as Queen of the night in 2006 with the Vienna Festwochen and the Festival d'Aix-en-Provence and also at the Teatro Real in Madrid to which she later returned to as Olympiain Les Contes d'Hoffmann. With Hamburg's State Opera she sang Violetta in 2007 and will return later this year for Marie in La Fille du Regiment. Her much acclaimed debut as Zerbinetta in Bratislava took place in May 2007. Her future plans also include her debut with San Diego Opera as Gilda.

An album with French and Italian opera arias was released in 2000.