Szmodics was named in the Ireland squad for two summer internationals, but had to pull out after aggravating a shoulder injury.
And Taylor would have had a great chance of making that squad, but for suffering a hamstring injury in the penultimate game of last season.
Injury and a lack of gametime ruled both of them out of Ireland’s matches in the current international break.
The last player to win a full international cap while playing for Posh was right-back Michael Smith for Northern Ireland in 2016.
Gaby Zakuani’s 20 caps for DR Congo is the most by a serving Posh player.
Here are the Posh internationals...
Injury and a lack of gametime ruled both of them out of Ireland’s matches in the current international break.
17. FRANK RANKMORE
1 cap for Wales. Made over 200 Football League appearances for Posh between 1963-1968 and while at London Road the central defender won his one and only Welsh cap against Chile. Blotted his Posh copybook by moving to Cobblers!
18. MICHAEL SMITH
1 cap for Northern Ireland. A strong right-back at London Road who made his full international debut aged 27 in a 1-0 win over Slovenia in 2016. Won the rest of his 17 Northern Ireland caps after moving to Hearts in Scotland. (Photo by Mike Hewitt/Getty Images