###### Abstract  
The development of selective extraction protocols for _Cannabis_-inflorescence constituents is still a significant challenge. The characteristic _Cannabis_ fragrance can be mainly ascribed to monoterepenes, sesquiterpenenes and oxygenated terpenoids. This work investigates the entrapment of _Cannabis_ terpenes in olive oil from infloresences via stripping under mild vacuum during the rapid microwave-assisted decarboxylation of cannabinoids (MW, 120 \({}^{\circ}\)C, 30 min) and after subsequent extraction of cannabinoids (60 and 100 \({}^{\circ}\)C). The profiles of the volatiles collected in the oil samples before and after the extraction step were evaluated using static headspace solid-phase microextraction (HS-SPME), followed by gas chromatography coupled to mass spectrometry (GC-MS). Between the three fractions obtained, the first shows the highest volatile content (\(\sim\)37,400 mg/kg oil), with \(\alpha\)-pinene, \(\beta\)-pinene, \(\beta\)-myrene, \(\beta\)-myrene, Imonene and _trans_-\(\beta\)-caryophyllene as the main components. The MW-assisted extraction at 60 and 100 \({}^{\circ}\)C of infloresences using the collected oil fractions allowed an increase of 70% and 86% of total interpene content, respectively. Considering the initial terpene amount of 91,324.7 \(\pm\) 2774.4 mg/kg dry infloresences, the percentage of recovery after decarboxylation was close to 58% (mainly monoterepenes), while it reached nearly 100% (including sesquiterpenes) after extraction. The selective and efficient extraction of volatile compounds, while avoiding direct contact between the matrix and extraction solvents, paves the way for specific applications in various aromatic plants. In this context, aromatized extracts can be employed to create innovative Cannabis-based products within the hemp processing industry, as well as in perfumery, cosmetics, dietary supplements, food, and the pharmaceutical industry. C 20242989  
polyphenol families. Similar to cannabinoids, more than 100 terpenes and terpenoids have been identified and characterized in the _Cannabis_ plant, and are usually present in consumer products [7; 8]. Common terpen found in _Cannabis_ include monoterenes, such as limonene, \(\alpha\)- and \(\beta\)-pinene, \(\beta\)-myrcene and terpionlene, and sesquiterpenes, such as \(\alpha\)-humulene and \(\beta\)-caryophyllene. A number of terpenoids, which contain other elements such as oxygen, can also be easily observed, including \(\alpha\)-fenchyl alcohol, \(\alpha\)-terpineol,linalool, borneol, guaiol, \(\alpha\)-bisabolol, and caryophyllene oxide [8]. The terpene and terpenoid profiles can be associated with the geographical origin of the _Cannabis_ plant or product [9; 10] and to specific strains, which have been developed with distinct aromas and flavors [11]. It has been reported that some terpen possess antimicrobial, anti-inflammatory, immuno-modulatory, anticancer and anti-anxiety properties [12; 13; 14; 15], but they are best recognized for their flavor and aroma, which contribute to consumer preferences (e.g., essential oils and food flavoring) [16]. This explains the choice of _Cannabis_ for recreational use by consumers and the possible synergistic effects of cannabinoids and terpenes with regard to medical benefits [17; 18; 19]. Hence, the comprehensive and accurate qualitative and quantitative analysis of this class of natural compounds, together with cannabinoids, is essential for guaranteeing the quality of _Cannabis_ used in medical treatment. The typical analytical protocol for terpen in plant materials involves an extraction step, such as conventional maceration, steam and hydro-distillation [20; 21; 22] and supercritical-CO\({}_{2}\)[23], followed by gas chromatography (GC) analysis. The combination of mass spectrometry (MS) and chromatographic separation can considerably improve the efficiency of the analytical method [24].