Sri Lanka, who won the T20 World Cup in 2014, have two warm-up games in Melbourne before they begin their World Cup campaign with a qualifying match against Namibia on October 16.
Both players accepted the proposed sanctions, the ICC said.
Following Sri Lanka's disappointing performance in the T20 World Cup, the Sports Minister is considering an interim committee to restructure the cricket board.
Sri Lanka were dealt another injury blow at the World Cup with seamer Lahiru Kumara ruled out of the rest of the tournament due to a left thigh muscle injury.
England captain Ollie Pope returned to form with a classy unbeaten 103 to guide his team to 221/3 on a weather-affected first day of the third and final Test.
Gus Atkinson scored a superb maiden century as England's lower order collected quick runs against a ragged Sri Lanka bowling attack to post 427
Australia, who have already secured their place in the final of the World Test Championship against South Africa, won the opening Test, also in Galle, by an innings and 242 runs.
Sri Lanka used the seamer friendly conditions at Kingsmead to reduce South Africa to 80/4 before rain stopped play on the opening day of the first Test
India opener Ishan Kishan was admitted to a city hospital and underwent a brain scan after being struck on the head during the second T20I against Sri Lanka, in Dharamsala, on Saturday.
Dasun Shanaka on Saturday said someone had to 'chip in' with the side's frontline bowlers out with injuries.
Kusal Mendis' battling half-century salvaged a difficult day one for Sri Lanka as they reached 229/9 in the second Test.
IMAGES from Day 1 of the second Test between England and Sri Lanka, at Lord's, on Thursday.
Pacers Dushmantha Chameera and Lahiru Gamage have been added to the Sri Lankan squad ahead of the third Test against India starting in Pallekele on Saturday.
Smith's unbeaten 120 is his second successive hundred of the series while Carey made a career-best 139 not out hitting 22 fours and three sixes between them.
Seamer Dane Paterson took a career-best 5-71 and Temba Bavuma was unbeaten on 48 as South Africa closed the third day
Injury-hit Sri Lanka and South Africa seek winning start to World Cup
IMAGES from the World Cup match between England and Sri Lanka, at the M Chinnaswamy Stadium in Bengaluru, on Thursday.
Ryan Rickelton scored a maiden Test century as the hosts finished on 269-7 against Sri Lanka on the opening day
India beat Sri Lanka by seven wickets in the second Twenty20 International to take an unassailable 2-0 lead
Royal Challengers Bangalore announced that Sri Lankan duo of Wanindu Hasaranga and Dushmantha Chameera have been released from the team's bio bubble ahead of the IPL Eliminator match against Kolkata Knight Riders on Monday.
Spinner Keshav Maharaj took five wickets as South Africa secured a 109-run victory over Sri Lanka on the last day of the second Test.
Images from the first Twenty20 International between India and Sri Lanka, in Lucknow, on Thursday.
South Africa were five wickets from victory as Sri Lanka finished the third day of the first Test on 103-5 in their second innings after being set a 516-run target on Friday.
Nissanka had featured in a 41-run opening partnership with Dimuth Karunaratne, who scored 20 before being undone by a rising delivery from Kagiso Rabada that forced an edge behind to wicketkeeper Kyle Verreynne.
Binura Fernando, Pramod Madushan, Dushan Hemantha back in Sri Lanka squad
Sri Lanka have called up leg-spinning all-rounder Dushan Hemantha, while Chamika Karunaratne will be the travelling reserve player.
Bangladesh handed Sri Lanka a crushing seven-wicket defeat in their first warm-up match of the ICC ODI World Cup, in Guwahati on Friday to make a winning start.
Images from the third and final ODI between India and Sri Lanka at the Greenfield International Stadium, in Thiruvananthapuram, on Sunday.
IMAGES from the third Test played between England and Sri Lanka at the Oval on Sunday
IMAGES from the T20 World Cup match played between Afghanistan and Sri Lanka in Brisbane on Tuesday.
The 18-member Sri Lanka Test squad, led by star batter Dimuth Karunaratne and featuring veterans such as Angelo Mathews, Lahiru Thirimanne and Dinesh Chandimal, checked in Dharamsala on Friday.
'We have seen the SLC statement, but are not privy to any information or intelligence report relating to safety of the SL team. The PCB reiterates its commitment to provide complete safety and security to the SL side and in this relation will continue to work with the SLC'
Images from the T20 World Cup match between Sri Lanka and Ireland, in Hobart, on Sunday.
Hosts New Zealand were in trouble as Sri Lanka reduced the Kiwis to 165 for five on day two of the first Test.
Sri Lanka Cricket picked a 20-member squad for the white-ball series starting on January 3.
Left-arm fast bowler Binura Fernando will miss the three one-dayers against India after spraining his left ankle during practice but will be available for the T20 matches.
Images from the second One-Day International at the Eden Gardens in Kolkata on Thursday.
Sri Lanka's Twenty20 captain Lasith Malinga will not be part of the 24-member squad for the second residential training camp, starting June 22 in Kandy, it was announced on Thursday. A six-member unit of coaches and other support staff will work with the players during the camp at the Pallekele stadium.
IMAGES from Day 4 of the 2nd Test between England and Sri Lanka, at Lord's, on Sunday.
Sri Lanka have been hit hard by injuries to key players in the run up to the ongoing Asia Cup.
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