Fra anmeddelelser om Bach CD−en:

"You don’t have to be terribly learned musically to realize that something wonderful has transpired in Bach’s monumental set of variations on a ground bass. Sigurjónsdóttir does the hard work for you, so just sit back and enjoy!"
Phil Muse / AUDIO CLUB OF ATLANTA
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"This is first-rate interpretation, singularly sensitive to all the nuances of the music while bringing out the sheer beauty of the parts. If you already have a version or two of these pieces, this will augment the pleasure of the music with another reading, one that is vivaciously modern. If you do not have the music, here's your perfect chance to get an excellent version. Bravo!"
Grego Applegate Edwards / GAPPLEGATE MUSIC REVIEW
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Om Hlífs koncert på Mørke Musikdager i Reykjavík 30.01.2016
"... contained some of the most adventurous and abstract music of Dark Music Days.... and expressive journey that showcased Sigurjónsdóttir’s mastery of the extreme upper register.... The Sorceress, a multi-movement work written for Sigurjónsdóttir, brought the program into furious overdrive.."
GAVIN GAMBOA
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“Hlíf Sigurjónsdóttirs violintone er af stor renhed og hun fortolker musikken i overensstemmelse med værkets genre og den historiske stil fra tiden, hvor værket blev komponeret. Hendes bueteknik er altid fleksibel og nøjagtig, og hendes fornemmelse for tonen er præcis. Hun er en fremragende repræsentant for en musikelskende nation.”
Cecilia Porter
musikanmelder ved Washington Post, 2004