I mean the Falklands War on the British behalf was carried out by a task force of two carriers and their escorts, and logistically there was one or two main LPH kind of ships and the RN had to rely on a number of civilian freighters to support the invasion during the course of the conflict.
Apart from the aircraft carrier issue, China probably could have pulled off a Falklands invasion (or some other small scale naval conflict some half way around the globe. China has the modern escorts (18 destroyers and 18 frigates by 2008 that could be considered capable of defending themselves from air attack...10 destroyers and 2 frigates (Type 054A) that could provide more effective medium to long ranged air defense and ASW). Even though we all know Falklands was fought in 1982, it is to be noted that not every British warship escorting the carriers were armed with SAM (or only for very short ranged air defense), and that all British ships at that time lacked some sort of CIWS or even automatic AA guns as advanced as contemporary Chinese Type 730, AK630 or Type 76F type of AA artillery.
Logistically, the PLAN has 5 fleet replenishment tankers, operates several large logistical assets that can support submarines and surface ships, and the civilian freight has an incredible number of large assets that could lift huge loads. Of course, my personal view is that the Yuting and Yuting II class are limitedly capable of ocean operations if accompanied with a tanker...afterall US LSTs were able to conduct operations in WW2 in the far stretches of the Pacific.
Lets say...in any event of a global crisis NOW, PLAN if it was determined or politically inclined to, could very well deploy its 2x 052B, 2x Sovremenny, 2x 052C, 2x 054 and another 2x Jiangweis...+ 2-3 tankers in support operating as a task force...not to mention with one or two Han SSN support (though that is assuming Hans were only used for NON-ASW operations, but nonetheless any submarine is a dangerous beast). This force could easily project power as far as New Zealand...and a follow up task force with civilian tankers, freigther ships, LSTs, etc, could follow to transport the necessary troops and their equipments. (lets say PLAN could ship up to one marine brigade in deep ocean).
Of course, this is completely assuming A) it is like the Falklands war B) the opponent has an inferior navy C) the opponent's air force is small, has only limited AShM capability D) not all of the opponent's navy or air force was deployable E) the opponent's submarines are inferior or small in number F) the ground forces that the marines would be engaging is only a small contingent
Bottom Line...in a situation like the falklands, an island which was far from the UK and kind of far from the Argentine mainland (far enough so that not all of Argentina's military assets could be deployed), PLAN could quite well deploy a task force and a follow up assault. So if there was an island dispute far from China and lets say, far from Japan, both sides would probably have an equal footing in terms of air power projection and around-the-world fleet deployments.
However even so, the RN in the Falklands had its two carriers. Though there were only 20 Harriers between them, these aircraft were almost invaluable and won air superiority over the larger Argentine air force. The carriers and amphibious platform also serve well in carrying large numbers of helicopters that supported ASW and transport operations, not to mention airborne early warning.
But even though the Argentinian Navy only operated a small number of submarines, one sub on several occassions presented a real danger to the RN fleet, and these 'submarine zones' had to be avoided, which greatly delayed operations.
The RN's SSNs at that time were probably technologically inferior to the refitted Chinese Han of today. But the RN SSN that sunk the Argentine cruiser was attacking a ship that had no helicopter or good ASW sensor on board, nor was she properly escorted by ASW frigates. The same window of opportunity will probably not be made, with ships carrying new sensors and weapons fo ASW. So Han, while having its capabilities of operating deep in oceans, is quite a vulnerable submarine (but better than having no submarine).
In conclusion...
If we did look at it like a falklands operation, PLAN could pull it off.
However PLAN lacks the following that would enhance its task force's power projections:
1) Aircraft carrier (even if it was only small and carried around 20 combat aircraft/helicopters)
2) Without long range bombers and MPAs (which the RN had in the Falklands as the Nimrod with in flight refuelling), it loses its ASW coverage.
3) a dedicated amphibious LPD platform.
4) in a modern war, long range land attack cruise missiles
5) modern SSN, as 093 is still not in full production.
6) mine warfare...no dedicated ocean going minesweeper (as T-43 is old) and aircraft carrier or LPD probably needed for a helicopter towed mine sweeping operation.
However we can look at the bright side
1) PLAN has the logistical means...civilian ships and LSTs that can operate far from home if need be.
2) Though not all its fleet is 'modern', the available number of modern ships is more than enough to form a capable long range task force
3) PLAN has made significant strides in fleet replenishment, with two new additions.
4) It has SSNs...not all navies enjoy this luxury.
5) Its newest destroyers are quite capable of providing fleet air defense for the task force.
6) latest combatants have CIWS which greatly improves their defense against incoming munitions.
Weighing up the facts...I personally think PLAN is at a stage that it could quite well deploy a task force of surface warships with one or two SSNs and a number of auxilaries to the other side of the Pacific or Indian Ocean. Though this task force is probably well equipped to defend itself from air attack and could achieve naval supremacy on the surface, it is weak in ASW and its ability to project air power to win air supremacy. This is of course all assuming too that PLAN task force would be facing an inferior foe.
Last point I want to make: Despite PLAN having these assets, one issue of the task force concept...IT JUST HASN'T BEEN PRACTISED BY PLAN BEFORE!!!!