The pair failed to secure moves away from Merseyside in the summer transfer window, despite being heavily linked with Nottingham Forest and Watford respectively.
Bogdan has not featured for the Reds since the last day of the 2015/16 campaign, when Klopp rotated his side ahead of the Europa League final.
Meanwhile, Markovic’s last competitive outing for Liverpool came in 2015, in a 2-1 victory at home to Queens Park Rangers, though the Serbian did turn out under Klopp in pre-season.
Philippe Coutinho was also included, following a turbulent month that saw the Brazilian hand in a transfer request as he pushed for a big-money move to Barcelona.
Liverpool’s squad was released prior to the end of the Spanish transfer window, but the club remained adamant their No. 10 would not be sold.
Jon Flanagan and Lloyd Jones were also among Klopp’s 10 homegrown players, though neither are expected to feature heavily in 2017/18, particularly the latter.
Markovic has spent muted loan spells with Fenerbahce and Sporting CP in the past two campaigns, but showed signs of promise while under Marco Silva at Hull City in the second half of 2016/17, scoring twice in 14 games.
Liverpool’s Premier League Squad
Goalkeepers: Mignolet, Karius, Ward*, Bogdan
Defenders: Matip, Lovren, Klavan, Jones*, Clyne*, Moreno, Robertson, Flanagan*
Midfielders: Henderson*, Can, Wijnaldum, Lallana*, Coutinho, Oxlade-Chamberlain*, Milner*
Forwards: Firmino, Mane, Salah, Sturridge*, Ings*, Markovic
Notable Youth: Alexander-Arnold, Brannagan, Brewster, Ejaria, Gomez, Grabara, Grujic, Solanke, Wilson, Woodburn
* Homegrown player.