For nearly a fortnight Greig busied himself in thoroughly refitting his fleet; on the 6th of August he signalled to weigh anchor at dawn, and on the 7th arrived off Sveaborg, where he found four Swedish ships at anchor in the roads; but they cut their cables, and, under a press of sail, retired into port in confusion. Greig followed them boldly, and just as his leading ship came within musket-shot of the sternmost Swede, the latter struck upon a sunken rock; her mainmast went by the board, and after maintaining a short cannonade with Admiral Roslainow, she struck her colours. The other three escaped into shallow water. Greig's boats took possession of the bilged ship, which proved to be the Gustavus Adolphus, of 64 guns, commanded by Colonel Christierne, who was taken prisoner with thirteen officers and 530 men, after which Greig ordered her to be blown up. He next seized a ship laden with cables, sails, medicine, &c., for the Swedish fleet.

Meanwhile the Duke of Sudermania remained a quiet spectator in Sveaborg, where he was completely blocked up by Greig, although he had under his command sixteen ships of the line and eight frigates.

Till the 9th Greig remained off Sveaborg, which is strongly fortified by nature and art, and then, in the hope that the duke would come out, as the wind was favourable for his doing so, he sailed slowly across the Gulf of Finland towards the opposite coast of Revel, and on his approaching the isle of Margen, placed his cruisers towards the west, so as completely to cut off the Swedish fleet from all succour by way of Carlscrona, and to prevent them forming a junction with five ships laden with stores, of which they were in the greatest need.

Here Greig was joined by two 64-gun ships; and on the 14th of August he was off Revel in Esthonia. Meanwhile the Swedish and Russian troops had many fierce encounters in Finland; but the former were unsuccessful, and this expedition ended in defeat and disaster.

The indefatigable Greig continued to cruise in the gulf until the month of October; and, though suffering from a severe illness, he completely blocked up the Swedes in Sveaborg, cut them off from succour, and saved St. Petersburg from alarm.

On the 2nd October, the weather became exceedingly stormy, and the Russian fleet were all dispersed. Then the Duke of Sudermania thought he might essay something against Greig; but, though sick and infirm, the latter soon collected all his ships, and the blockade was resumed more strictly than ever; but, unhappily, his illness terminated in a violent fever, and, on the 26th of that month the brave admiral expired, in the fifty-third year of his age, on board of his flagship the Rotislaw, to the great sorrow of every officer and seaman in the fleet, where, by his bravery, justice, generosity, and goodness of heart, he had indeed won for himself the honourable title of the Father of the Russian Navy.

The tidings of his death were the signal for a general mourning at St. Petersburg; and, while Admiral Spiritoff assumed the command of the fleet, the Empress ordered the interment of her favourite officer to be conducted with a pomp, solemnity, and magnificence never before witnessed in Russia.

The funeral took place on the 5th of December. Some days before it, the body lay on a state bed in the hall of the Admiralty, which was hung with black cloth, while the doors were festooned with white crape, and the vast apartment was lighted by silver lustres. Under a canopy of crape the body was placed on three small arches, dressed in full uniform, the head being encircled by a wreath of laurel. At its foot stood an urn, adorned with silver anchors and streamers, inscribed—

"S.G. nat. d. 30 Nov. 1735—obit d. 15 Oct. 1788."

The coffin stood on six feet of massy silver. It was covered with black velvet, lined with white satin; the handles and fringes were of pure silver, and the pillows of blonde lace. On three tabourettes of crimson and gold lay his five orders of knighthood—one of them, the St. George's Cross, mutilated by a shot in the Archipelago; and around were twelve pedestals, covered with crape and flowers, bearing twelve gigantic candles. At the head of the bed hung all his flags; and two staff officers and six marine captains were constantly beside it until the day of interment, when Lieutenant the Baron Vanden Pahlen pronounced a high eulogy in honour of the brave deceased.