In Arabidopsis thaliana two nuclear 5-3 exonucleases, XRN2 & 3, are involved in the degradation and processing of several classes of nuclear RNAs and in transcription termination of RNA polymerase II. The role of XRN3 in Pol II transcription termination is investigated by combining two different types of RNA-seq data for Col-0 background WT and xrn3-8 mutant A. thaliana seedlings. The data for the experiment comprises single molecule Direct RNA Sequencing of unamplified RNA (3x WT, 4x xrn3-8 mutant) and high-depth Illumina strand-specific short read sequencing of PCR amplified ribosomal-RNA depleted RNA (Illumina TruSeq stranded ribozero Plant kit, 3x WT, 3x xrm3-8 mutant). In the xrn3 mutant, these data reveal a widespread accumulation of non-coding intergenic transcripts (xrn3-associated transcripts - XATs) generated by Pol II read-through transcription that are usually polyadenylated and lack the 5 cap structure. This data highlights the important role of exoribonucleases in the torpedo mechanism of Pol II transcription termination and show that a global disturbance in this process significantly impacts both gene expression and transcriptome integrity.