After some persistent efforts from Danny White and Mark Reilly, who had started working together again, she agreed to join reformed Matt Bianco. The band released the album "Matt's Mood" in 2004 to critical acclaim and modest chart success. The positive response to Matt Bianco's reunion and pleas from her fans encouraged Basia to work on her next solo album. Having finished touring with the band in 2006, Basia and Danny began working on the new material together while Reilly continued with Matt Bianco. Her fourth solo studio album, "It's That Girl Again", was finally released in spring 2009 by independent label Koch Records. It was promoted by the ballad "A Gift" on the Polish radio while "Blame It on the Summer" served as the lead single on the American market. The album met with critical as well as commercial success, placing in the top 10 of the US Jazz Albums chart and the top 5 in her native Poland where it was certified platinum. Basia promoted "It's That Girl Again" with an extensive tour. A concert in Łódź, Poland was recorded for her second live album, "", released in autumn that year. The album additionally featured three studio recordings, including the title song, released as the lead single, and "Wandering", a duet with Polish singer Mietek Szcześniak. They recorded one more song together, a cover of Vanessa Williams' hit "Save the Best for Last", produced by its original co-writer Wendy Waldman, this time for Szcześniak's album "Signs". In March 2013, Basia performed a full show at Java Jazz Festival in Jakarta, Indonesia. Basia recorded duets with Polish artists Monika Lidke and the band Pectus for their respective albums, simultaneously working on the new solo album. In 2014, she was ordered with the Commander's Cross of Polonia Restituta for promoting Polish culture worldwide, and the following year, she received the Medal for Merit to Culture – Gloria Artis. Her fifth solo studio album, "Butterflies", was finally released in May 2018, preceded by the single "Matteo". It received positive reviews and charted in the top 5 on the Jazz Albums chart in the US, and the top 20 in Poland. The singer embarked on a worldwide tour to promote the album in autumn 2018. Basia's biggest influence has always been American music, particularly soul and jazz. Her songs are also inspired by Latin American music, especially Brazilian, and such genres as bossa nova and samba.