The Afghanistan Cricket Board said the final 15-member squad will be announced at the end of a week-long preparatory camp in Greater Noida.
Afghanistan may be faced with some off-field distractions in Pakistan with Group B rivals England and South Africa being urged to boycott their matches.
Saleem, 20, has yet to represent the national team in any format while Rasooli has shown strong form in the Shpageeza Cricket League, Afghanistan's domestic T20 tournament, after recovering from a finger injury.
The 22-year-old leg-spinner said on social media that he was not consulted by the ACB, who earlier named an 18-member squad and two reserve players for the tournament in the United Arab Emirates and Oman.
Afghanistan started off their Asia Cup campaign with a massive win by 94 runs over Hong Kong in their Group B clash at Abu Dhabi on Tuesday, September 9.
Having lost against Sri Lanka, Bangladesh face a must-win against Afghanistan to keep their Super 4s hopes alive.
Afghanistan on Sunday unveiled a 17-member squad for the upcoming Asia Cup, scheduled from September 9 to 28 in Abu Dhabi and Dubai.
After playing a major role in Chennai Super Kings' IPL triumph, young pace bowler Matheesha Pathirana will be hoping to make the same impact for Sri Lanka in the ODI series against Afghanistan.
Sri Lanka knocked out Afghanistan with a six-wicket victory at the Gabba.
Defeat will severely dent both the teams' dreams of a semi-final berth in the tournament, as South Africa and Australia have already notched two points.
Australia's historic pedigree in cricket's biggest tournaments will count for nothing when they run into an Afghanistan side that is fast cementing its place in the game's top table in the Champions Trophy match in Lahore on Friday.
Debutants Afghanistan will aim to continue their impressive rise in white-ball cricket, while South Africa will once again attempt to shed the 'chokers' tag when the two sides kick-off their Champions Trophy campaign in Karachi on Friday.
Winless in two matches, both India and Afghanistan are out of the tournament and Thursday's match between the two sides in Dubai has been rendered inconsequential.
India, Pakistan, Sri Lanka, Afghanistan and Bangladesh can beat each other on their day
None of the players attending the camp are being tested for COVID-19 but only those who haven't shown any symptoms like fever, have been allowed to join.
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