Well I do have one from
"Population genomic analysis of elongated skulls reveals extensive female-biased immigration in Early Medieval Bavaria", albeit it's found in a land far from Greece and the Balkans however the general opinion circulating on the forums like this one was that it was a sample from Greece or the Balkans ultimately. I am thinking about STR_300, the one found in medieval Bavaria buried with artifacts associated with the Mediterranean.
From the study:
Using the G25 tool I will try to model the sample in question using all the samples of the current spreadsheet with ancient scaled samples:
Target: DEU_MA_o
Distance: 3.2673% / 0.03267303 | ADC: 0.5x
56.6 BGR_IA
18.4 Iberia_Northeast_Empuries2
16.2 HUN_MA_Szolad_o1
7.2 TUR_Isparta_EBA
1.6 ARM_Areni_C
STR_300 clearly is overwhelmingly of Balkan origin, whether this is an ancient Greek or Thracian or something else is very difficult to determine because of the similarity of those samples. In this model, the sample str_300 not only can be modeled mostly as of Thracian origin but it's also closest to the Iron Age sample from Bulgaria:
Distance to: DEU_MA_o
0.03732499 BGR_IA
0.04089265 Iberia_Northeast_Empuries2
0.04558788 HUN_MA_Szolad_o1
0.05106671 ITA_Rome_Late_Antiquity
0.05364110 GRC_Mycenaean
0.05461303 ITA_Rome_Imperial
0.05645685 ITA_Collegno_MA_o1
0.05843966 ITA_Rome_MA
0.06062882 Levant_LBN_MA_o4
0.06143632 ITA_Sardinia_Late_Antiquity
0.06284889 BGR_Krepost_N
0.06415580 ITA_Sardinia_IA
0.06455031 Levant_Ashkelon_IA1
0.06464730 ITA_Sicily_LBA
What is interesting is that the model shows that str_300 harbored some 8.8% West Asian ancestry derived mostly from Anatolia and the Lesser Caucasus.
That the sample in question shifts towards West Asia when compared to his predecessors from the Balkans could be also demonstrated with PCA:
Of course, If you are picky you might say that the Levant and Anatolia-Caucasus are two different thing however I have no doubt that different samples could pick up different things including those coming from the Levant. It's pity that we don't have many samples from the Roman period Balkans and one sample could hardly prove a point however we can even cite the recent paper about Rome and in the authors in the paper came to the same conclusion that during the Imperial times there was a big shift of the Rome's population towards West Asia and the Middle East and we can't doubt that the the same didn't happen in the Balkans IMO. Not only because Greece and the Balkans are closer geographically to West Asia and the Middle East but also because the ancient dna profile of Empuries2 and BGR_IA still evident in the EM period witnessed by the dna profile of
HUN_MA_Szolad_o1 didn't survive in the modern populations of Greece and the Balkans and Slavic admixture only can't explain the current position on the PCA of these modern populations but you also need something West Asian or Levantine to effectively model them:
Target: Greek_Thessaly
Distance: 1.2934% / 0.01293420
40.4 Iberia_Northeast_Empuries2
37.8 HUN_Avar_Szolad
13.4 TUR_Isparta_EBA
8.4 Levant_LBN_Roman
Empuries2 Eastern genetic input is represented mostly by CHG which in turn comes from the BA native populations of Greece such as the Minoans. Empuries2 definitely has less "IRN_Ganj_Dareh_N" and "Levant_Natufian" than modern mainland Greeks who when you take in consideration that they have additional ancestry from people of Northern and Eastern Europe with little or none West Asian and MENA admixture then it comes clear that some West Asian population also took a part in the making of the modern genetic profile of the mainland Greeks.