
Figure 1. A traditional selection of sparassodont metatheres from Forasieppi, MacPhee and del Pino 2019
In their study of the cranium
of the South American sparassodont sabertooth, Thylacosmilus, Forasieppi, MacPhee and del Pino 2019 report, “Sparassodonta is the group that includes the common ancestor of Patene and all its descendants. Undisputed records of Sparassodonta, including ones for Patene simpsoni, begin in the Early Eocene (Itaboraian) and extend through to the Pliocene (Chapadmalalan), when the last of them disappeared.”

FIgure 2. Cladogram of the traditional Sparassodonta from Babot and Forasiepi 2016. Taxa also found in the LRT are colored. Compare to Figure 2. The Babot and Forasiepi 2016 cladogram includes tooth only and mandible only taxa.
A recent cladogram of Sparassodonta and its outgroups
(Fig. 1) was published in Babot and Forasiepi 2016 (Fig. 2). This cladogram is distinct from the large reptile tree (LRT, 1530 taxa), so no confirmation here.

FIgure 3. Subset of the LRT focusing on the clade Metatheria (Marsupialia). Taxa shared with Babot and Forasiepi 2016 are colored. Compared to Figure 1. This cladogram includes relatively well-known and complete taxa.
Patene is known
from a tiny partial maxilla and mandible. I have not added it to the LRT. Mayulestes has just been downloaded, awaiting testing.

Figure 4. Thylacosmilus compared to Vincelestes separated by tens of millions of years. The both have maxillae conjoined dorsally to house the large canines.
According to the LRT,
taxa missing from the Babot and Forasiepi tree include Vincelestes (a sister taxon to Thylacosmilus in the LRT) and a long list of other carnivorous marsupials. Hadrocodium is not included in Babot and Forasiepi. It attracts the other sabertooth, Patagosmilus (Fig. 5), as we learned earlier here.

Figure 5. Patagosmilus to scale alongside Hadrocodium. These sabetooth taxa are not directly related to Thylacosmilus in the LRT.

FIgure 6. Borhyaena skull cracked and angled to match the glenoid to the jaw joint, distinct from the original illustration (above).
Late note: added the same evening as the original post:
Mayulestes ferox (Fig. 1) was just now added to the LRT, and it nests at the base of the Masrasector + Borhyaena clade. Nothing else changed. Thylacosmilus is still not related to the dasyurids, including the creodonts and borhyaenids.
References
Babot J and Forasiepi AM 2016. Mamíferos predadores nativos del Cenozoico sudamericano: evidencias filogenéticas y paleoecológicas. Contributions del MACN 6 Historia evolutiva y paleobiogeografica de los vertebros de America del Sur. Agnolin FL et al. editors.
Forasiepi AM, MacPhee RDE and Hernandez del Pino 2019. Caudal cranium of Thylacosmilus atrox (Mammalia, Metatheria, Sparassodonta, a South American predaceous sabertooth. Bulletin of the American Museum of Natural History 433:1–64.
Dear David,
here an actual interesting link:
https://science.sciencemag.org/content/365/6450/276
New Jurassic mammaliaform sheds light on early evolution of mammal-like hyoid bones
Best regards
Werner